Class 12 Maths
Vector Algebra
Head to tail vector addition
To add two vectors, position them so that the initial point of one coincides with the terminal of the other.
Consider two vectors a ⃗and b ⃗ and move them parallel to each other such that tail of b ⃗ touches the head of a ⃗.
Then the resultant vector will be given as vector (a ⃗ + b ⃗).
Also AC⃗ = -CA ⃗ from equation (AC ⃗= AB ⃗+ BC ⃗).
AA ⃗= AB ⃗+BC ⃗+ CA ⃗=0. This implies when we consider the sides of the triangle in order, it leads to zero resultant as both initial and terminal points coincides with each other. This is shown in the figure (ii).
Constructing a vector as shown in the figure (iii) BC’⃗ and the magnitude of BC’ ⃗ is same as BC ⃗ but the direction is opposite to the vector BC ⃗, i.e.
BC’ ⃗= - BC ⃗
By applying triangle law of addition we have, AC’ ⃗ = AB ⃗ + BC ⃗
= AB ⃗+ (-BC ⃗)
AC’ ⃗= (a ⃗ - b ⃗).
Therefore vector AC’ ⃗ is said to represent the difference of a ⃗ and b ⃗.
Class 12 Maths Vector Algebra NCERT Chapter 10 Free Notes for Best Revision
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- Spacing Effect: Spacing out revision sessions over time, rather than cramming all at once, has been shown to improve long-term retention. Create a revision schedule leading up to the exams to allow for spaced practice.
- Regular Revision over Cramming: Regular and consistent revision throughout the academic year is very important. Waiting until the last moment to cram everything can be overwhelming and less effective than spaced-out revision.
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- Balanced Approach: Remind students to strike a balance between revision and other activities. Adequate rest, exercise, and relaxation are essential for optimal learning and performance.
- Seeking Help: If you face difficulties during the revision process, Refer the videos of Class 12 Maths Vector Algebra. Clearing doubts promptly is crucial for a better grasp of the subject matter. You can always ask your doubts on Vector Algebra Class 12 Maths NCERT Chapter 10. “Ask a Question” section of LearnoHub.com
By highlighting the benefits and strategies of effective revision, you can approach your studies more mindfully and achieve better results in your exams. Best of luck bachhon!
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Remember, studying with full concentration is a skill that takes time and practice to develop. If you find your mind wandering during study sessions, gently bring your focus back to the task at hand and be patient with yourself. With consistent effort, you can improve your ability to concentrate and make the most of your study time.
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