Q2 of 26 Page 1

Find λ if the vectors and are coplanar.

Given that,

Now, are coplanar,

if,

on expanding along R₃ ,we get

⇒ 0 (-3+ 1) - λ (-1-2) +3(-1-6) =0

⇒ λ +3 λ -21=0

⇒ 3 λ=21

⇒ λ = 7

If and then find the projection of on

If a line makes angles 90^o, 60^o and θ with x, y and z-axis respectively, where θ is acute, then find θ.

Write the element a₂₃ of a 3 × 3 matrix A = (a_jj) whose elements a_ij are given by

Find the differential equation representing the family of curves where A and B are arbitrary constants.