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Find the vectors, not with determinants, but by using properties of cross products

Math

Find the vectors, not with determinants, but by using properties of cross products.

(i + j) × (i - j)

and

k × (i - 2j)

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(a) (i + j) × (i - j)

=ixi -ixj+jxi-jxj

=o -k -k -0=-2k

(b) k × (i - 2j) =kxi-2(kxj) =j-2(-i) =2i+j

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