Vectors - Scalar (Dot) Product

Vectors - Scalar (Dot) Product

The angle between the unit vectors \(\mathbf{a}\) and \(\mathbf{b}\) is \(\theta\).

By expanding the scalar product, show that \((4\mathbf{a}-\mathbf{b})\cdot(\mathbf{a}+4\mathbf{b})=15\cos\theta\).

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Answer:\(15 cos \theta \)

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