Question: Using a = (a1, a2, a3), b = (b1, b2, b3), C = (C1, C2, C3) and k as scalar, prove all properties of cross

Using a = (a1, a2, a3), b = (b1, b2, b3), C = (C1, C2, C3) and k as scalar, prove all properties of cross product as listed below. i. axb = -bxa ii. (ka) x b = k(axb) = ax (kb) iii. ax (b+ c) = (axb) + (axc) iv. (a+b) xc = (axc) + (bxc) v. a . (b xc) = (axb) . c vi. ax (b x c) = (a . c)b - (a . b)c

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