Question

if tana =p/q, prove that p sina +q cosa =root under p^2+q^2

​

Answer 1

Answer:

b22 + b23.

Question 3: Let b = 4i + 3j and c be two vectors perpendicular to each other in the xy-plane. All vectors in the same plane having projections 1 and 2 along b and c respectively are given by _________.

Answer 2

Answer:

psinθ−qcosθ

=

ptanθ+q

ptanθ−q

, on dividing by cosθ

p(p/q)+q

p(p/q)−q

=

p

2

+q

2

p

2

−q

2

(∵tanθ=

q

p

)