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Scalar triple product with a x b as one of the vectors

This type of question, asked 2 times: 11 Apr 2026 S2, 20 Apr 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    11 Apr 2026 S2

    88
    If ∣aˉ∣=4,∣bˉ∣=3|\bar{a}| = 4, |\bar{b}| = 3 and aˉ⋅bˉ=8\bar{a}\cdot\bar{b} = 8 then [aˉ  aˉ+bˉ  aˉ×bˉ]=[\bar{a}\ \ \bar{a} + \bar{b}\ \ \bar{a} \times \bar{b}] =

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  2. Question 2

    20 Apr 2026 S1

    91
    If aˉ\bar{a} and bˉ\bar{b} are unit vectors perpendicular to each other, then [aˉ+(aˉ×bˉ)bˉ+(aˉ×bˉ)(aˉ×bˉ)]=⋯\left[\bar{a} + (\bar{a} \times \bar{b})\quad \bar{b} + (\bar{a} \times \bar{b})\quad (\bar{a} \times \bar{b})\right] = \cdots

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