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What is the angle between a=(3i4j) and \(b = (6i + ...

What is the angle between a=(3i4j) and b=(6i+4j)?

A.

13°

B.

87°

C.

100°

D.

110°

Correct answer is B

a.b=|a||b|cosθ

a=3i4j;b=6i+4j

1816=(32+(4)2)(62+42)cosθ

2=552cosθ

cosθ=2552=0.0555

\theta = 86.8° \approxeq 87°