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

Math Jan 09, 2021

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

(i + j) × (i - j)

and

k × (i - 2j)

Expert Solution

(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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