Q2 of 181 Page 1073

Write a unit vector in the direction of the sum of the vectors and

Let be the sum of the vectors

⇒

|| = (4² + 3² + ( - 12)²)^1/2

⇒|| = (16 + 9 + 144)^1/2 = (169)^1/2 = 13

a unit vector in the direction of the sum of the vectors is given by:

Ans:

Find the value of λ for which the points A(3, 2, 1), B(4, λ, 5), C(4, 2, -2) and D(6, 5, -1) are coplanar.

Ans. λ = 5

If and are two equal vectors the x + y + z = ?

Write the value of λ so that the vectors and are perpendicular to each other.

Find the value of p for which the vectors and are parallel.