Question

The three vectors have magnitude a=3m ,b=4m and c=10m,and angle thetha =30 with positive X axis for b and c makes 90degree angle with b and a is at 0 degree with positive X axis ,if c=pa +qb ,find the value of p and q.

Answer 1

separating the i and j components,
a = 3i + 0j
b = 2√3 i + 2j
c = -5i + 5√3 j
So, since c = pq + qb,
3p + 2√3 q = -5
0p + 2q = 5√3
Now just solve for p and q.

Answer 2

I want this solution step by step then it could be easy to understand.