NCERT Exemplar Class 12

Example 20 For any two vectors a and b, we always have I a + b I

Example 19 For any two vectors a and b, we always have I a . b I

Example 18 If is a unit vector and (x – a) . (x + a) = 8 , then find I x I. Example 18 If is a unit vector and (x - a) . (x + a) = 8 then find I x I. November 5, 2021 Category: Chapter 10 - Vector Algebra , [...]

Example 17 Find I a – b I, if two vectors a and b are such that I a I = 2, I b I = 3 and a . b = 4. Example 17 Find I a - b I I b I = 3 and a . b = 4. if two vectors [...]

Example 16 Find the projection of the vector a = 2i + 3j + 2k on the vector b = i + 2j + k . Example 16 Find the projection of the vector a = 2i + 3j + 2k on the vector b = i + 2j + k . November 5, 2021 [...]

Example 15 If a = 5i – j – 3k and b = i + 3j – 5k, then show that the vectors a + b and a – b are perpendicular. Example 15 If a = 5i - j - 3k and b = i + 3j - 5k then show that the vectors [...]

Example 14 Find angle ‘θ’ between the vectors a = i + j – k and b = i – j + k . Example 14 Find angle ‘θ’ between the vectors a = i + j - k and b = i - j + k . November 5, 2021 Category: Chapter 10 - [...]

Example 13 Find the angle between two vectors a and b with magnitudes 1 and 2 respectively and when a . b =1. Example 13 Find the angle between two vectors a and b with magnitudes 1 and 2 respectively and when a . b =1. November 5, 2021 Category: Chapter 10 - Vector Algebra [...]

Example 12 Show that the points A(2i – j + k ), B(i – 3j – 5k ), C(3i – 4j – 4k ) are the vertices of a right angled triangle. B(i - 3j - 5k ) C(3i - 4j - 4k ) are the vertices of a right angled triangle. Example 12 Show [...]

Example 11 Consider two points P and Q with position vectors OP = 3a – 2b and OQ = a + b. Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1, (i) internally, and (ii) externally. (i) internally and (ii) externally. Example 11 Consider [...]