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Mathematics 10 Online
OpenStudy (anonymous):

Determine whether the given vectors are orthogonal. 3i-2j and -8i-12j

ganeshie8 (ganeshie8):

dot product will be 0 if the vectors are orthogonal

ganeshie8 (ganeshie8):

check whether \(\langle 3, ~-2\rangle \bullet \langle-8,~-12 \rangle \) is 0

OpenStudy (anonymous):

the i and j don't have anything to do with the problem?

OpenStudy (anonymous):

it would just be 3*-8 and -2*-12? so -24+24=0?

ganeshie8 (ganeshie8):

yes since the dot product is 0, the given vectors are orthogonal/perpendicular

ganeshie8 (ganeshie8):

\(i \bullet i = j \bullet j = 1\)

ganeshie8 (ganeshie8):

so we dont need to wry about them whenn u take dot product

OpenStudy (anonymous):

oh, ok. Thanks!

ganeshie8 (ganeshie8):

u wlc !

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