Q19 of 36 Page 10

If two vectors and are such that and then find the value of [CBSE 2011]

Expanding the given equation , we get,

6(2)² + 11(1) – 35(1)²

24 + 11 – 35 = 0

Hence, .

If and then find the angle between .[CBSE 2018]

Using vectors, find the area of the triangle with vertices

A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5) [CBSE 2011]

Let and Find a vector which is perpendicular to both and and [CBSE 2012]

If the sum of two unit vectors is a unit vector prove that the magnitude of their difference is [CBSE 2012]