Question

Q. 8. Discuss the resolution of a vector in a plane
Ir Ā= 2 i + 3j – k and Ē = 21 - 5j + 2k, then find 3A - 2Ē!
OR​

Answer 1

Answer:

Any vector in the plane b and c is

r=b+λc=(i+2j+k)+λ(i+j−2k)

=(1+λ)i+(2+λ)j+(−1−2λ)k

Projection of r on a is =

∣a∣

r.a

=

4+1+1

2(1+λ)−(2+λ)−(1+2λ)

=

6

−λ−1

∴

6

−λ−1

=±

3

2

⇒−λ−1=±2⇒λ=−3,1

Hence r=−2i−j+5k and r=2i+3j−3k