If in parallelogram ABCD, diagonal vectors are AC=2i^+3j^+4k^ and BD=−6i^+7j^−2k^, then find the adjacent side vectors AB and AD

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Question

If in parallelogram ABCD, diagonal vectors are $A C = 2 \hat{i} + 3 \hat{j} + 4 \hat{k}$ and $B D = - 6 \hat{i} + 7 \hat{j} - 2 \hat{k},$ then find the adjacent side vectors $A B$ and $A D$

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Harper Discussed

If in parallelogram ABCD, diagonal vectors are

A C = 2 \hat{i} + 3 \hat{j} + 4 \hat{k}

and

B D = - 6 \hat{i} + 7 \hat{j} - 2 \hat{k},

then find the adjacent side vectors

A B

and

A D

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Question Text

If in parallelogram ABCD, diagonal vectors are

A C = 2 \hat{i} + 3 \hat{j} + 4 \hat{k}

and

B D = - 6 \hat{i} + 7 \hat{j} - 2 \hat{k},

then find the adjacent side vectors

A B

and

A D