If vectors P, Q, and R have magnitudes 5, 12, and 13 units and P+Q=R, if the angle between Q and R is theta. Then find 13/2 cos theta
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Answer:
Explanation:R = P + Q
13 = sqrt(5^2 + 12^2 + (2 × 5 × 12 × Cosx))
169 = 169 + 120Cosx
0 = 120Cosx
Cosx = 0
Cosx = Cos90
x = 90°
Angle between P and Q is 90°
Tan(y) = P Sinx / (Q + PCosx)
= 5 / (12 + 0)
= 5/12
y = Tan^-1 (5/12)
Angle between Q and R is Tan^-1 (5/12)
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