Question Answers

Example 27 If i j k, 2i 5j, 3i 2j 3k and i 6j k are the position vectors of points A, B, C and D respectively, then find the angle between AB and CD . Deduce that AB and CD are collinear. 2i 5j 3i 2j 3k and i 6j k are the position [...]

Example 26 Write all the unit vectors in XY-plane. Example 26 Write all the unit vectors in XY-plane. November 5, 2021 Category: Chapter 10 - Vector Algebra , Maths , NCERT Exemplar Class 12 ,

Example 25 Find the area of a parallelogram whose adjacent sides are given by the vectors a = 3i + j + 4k and b = i – j + k. Example 25 Find the area of a parallelogram whose adjacent sides are given by the vectors a = 3i + j + 4k and [...]

Example 24 Find the area of a triangle having the points A(1, 1, 1), B(1, 2, 3) and C(2, 3, 1) as its vertices. 1 1) as its vertices. 2 3) and C(2 3% B(1 Example 24 Find the area of a triangle having the points A(1 November 5, 2021 Category: Chapter 10 - Vector [...]

Example 23 Find a unit vector perpendicular to each of the vectors ( a + b) and ( a – b ) where a = i + j + k, b = i + 2j + 3k . B = i + 2j + 3k Example 23 Find a unit vector perpendicular to each of [...]

Example 22 Find I a x b I. if a = 2i + j + 3k and b = 3i + 5j – 2k. Example 22 Find I a x b I. if a = 2i + j + 3k and b = 3i + 5j - 2k. November 5, 2021 Category: Chapter 10 - [...]

Example 21 Show that the points A( -2i + 3i + 5k ), B(i + 2j + 3k ) and C(7i – k) are collinear. B(i + 2j + 3k ) and C(7i - k) are collinear. Example 21 Show that the points A( -2i + 3i + 5k ) November 5, 2021 Category: Chapter [...]

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 , [...]