NCERT Exemplar Class 12
Example 30 If with reference to the right handed system of mutually perpendicular unit vectors i, j, and k,a = 3j – j, beta = 2i + j – 3k, then express beta in the form beta = beta1 + beta2 where beta1 a and beta2 is parallel to is perpendicular to a.
05
Nov
Example 30 If with reference to the right handed system of mutually perpendicular unit vectors i, j, and k,a = 3j – j, beta = 2i + j – 3k, then express beta in the form beta = beta1 + beta2 where beta1 a and beta2 is parallel to is perpendicular to a. a = [...]
Example 29 Three vectors a, b and c satisfy the condition a + b + c = 0 . Evaluate the quantity u = a . b + b . c + c . a, if I a I = 3, I b I = 4, and I c I = 2
05
Nov
Example 29 Three vectors a, b and c satisfy the condition a + b + c = 0 . Evaluate the quantity u = a . b + b . c + c . a, if I a I = 3, I b I = 4, and I c I = 2 and I c [...]
Example 28 Let a, b and c be three vectors such that I a I = 3, I b I = 4, I c I = 5 and each one of them being perpendicular to the sum of the other two, find I a + b + c I.
05
Nov
Example 28 Let a, b and c be three vectors such that I a I = 3, I b I = 4, I c I = 5 and each one of them being perpendicular to the sum of the other two, find I a + b + c I. b and c be three vectors [...]
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.
05
Nov
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.
05
Nov
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.
05
Nov
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.
05
Nov
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 [...]
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Example 24 Find the area of a triangle having the points A(1 ,
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 .
05
Nov
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.
05
Nov
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.
05
Nov
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 [...]