Daily Practice Problems undefined Vector Algebra

Question 1:

If in a triangle, , and D, E are the mid-points of AB and AC respectively, then is equal to[Level: Moderate]

(a)

(b)

(c)

(d)

Question 2:

Let and . Then the vector satisfying and is[Level: Moderate]

(a)

(b)

(c)

(d)

Question 3:

Let , , . If is a unit vector such that = , then equals[Level: Difficult]

(a)

(b)

(c)

(d)

Question 4:

Let , and . If the vectors, , and are coplanar, then is equal to [Level: Moderate]

(a) 1

(b) 2

(d) –3

Question 5:

If , then[Level: Easy]

(a)

(b)

(c)

(d)

Question 6:

If , and , then is equal to[Level: Easy]

(a)

(b)

(c)

(d) None of these

Question 7:

Let and be two vectors such that and the angle between and is . If is a unit vector, then is equal to[Level: Difficult]

(a) 8

(b)

(c)

(d) 5

Question 8:

Let are three vectors along the adjacent edges of a tetrahedron, if and , then volume of tetrahedron is[Level: Moderate]

(a)

(b)

(c)

(d)

Question 9:

A vector is equally inclined to three vectors , and . Let , , be three vectors in the plane of respectively, then[Level: Easy]

(a)

(b)

(c)

(d) , where

Question 10:

Let , , be three vectors of length 3, 4, 5 respectively. Let be perpendicular to , to and to . Then the length of the vector is[Level: Difficult]

(a)

(b)

(c)

(d)

Question 11:

Let be a unit vector satisfying , where and . Then,[Level: Moderate]

(a)

(b)

(c)

(d)

Question 12:

Let be non-coplanar unit vectors equally inclined to one another at an acute angle . Then in terms of is equal to[Level: Moderate]

(a)

(b)

(c)

(d)

Question 13:

If = , then is equal to[Level: Moderate]

(a) 0

(b) 1

(d) 3

Question 14:

Let and be two unit vectors. If the vectors and are perpendicular to each other, then the angle between and is[Level: Difficult]

(a)

(b)

(c)

(d)

Question 15:

If , then the correct statement is[Level: Moderate]

(a)

(b)

(c)

(d) None of these

Question 16:

If , , , then the area (in sq units) of parallelogram with diagonals and will be[Level: Moderate]

(a)

(b)

(c)

(d) None of these

Question 17:

If , , , then the value of is[Level: Difficult]

(a)

(b) 4

(c)

(d) 64

Question 18:

If = 4, = 2 and the angle between and is then is equal to[Level: Easy]

(a)

(b) 16

(c)

(d) None of these

Question 19:

If and are linearly independent vectors and , thenLevel: Moderate]

(a)

(b)

(c)

(d)

Question 20:

Let , and is a unit vector then the maximum value of is[Level: Moderate]

(a) – 1

(b)

(c)

(d)

**********

Problem-solving on JEE Maths Vector Algebra NCERT Chapter 10 after learning a theoretical concept is crucial for several reasons:

Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic JEE Maths Vector Algebra you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in JEE Maths Vector Algebra NCERT Chapter 10, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Vector Algebra JEE Maths in practical scenarios helps you remember them better than passive reading or memorization.
Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Vector Algebra JEE Maths Notes on LearnoHub.com
Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Vector Algebra. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Vector Algebra JEE Maths Online Tests at LearnoHub.com.
Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Vector Algebra JEE Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on JEE Maths Vector Algebra NCERT Chapter 10

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on JEE Maths Vector Algebra NCERT Chapter 10 useful.

Last but not least, to get the best hold on JEE Maths Vector Algebra NCERT Chapter 10, do not forget to check out:

Vector Algebra JEE Maths Best videos
Vector Algebra JEE Maths NCERT Solutions
JEE Maths Vector Algebra Revision notes
Vector Algebra JEE Maths DPPs, Download PDF of solutions
JEE Maths Vector Algebra Online Tests
JEE Maths Sample papers