Prove that vectors u=(al+a1l1)i^+(am+a1m1)j^+(an+a1n1)k^ v=(bl+b1l1)i^+(bm+b1m1)j^+(bn+b1n1)k^ w=(bl+b1l1)i^+(bm+b1m1)j^+(bn+b1n1)k^ are coplanar.

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Prove that vectors {{u}}={({a}{l}+{a}_{{1}}{l}_{{1}})}{{i}}+{(

Question

Prove that vectors $u = (a l + a_{1} l_{1}) \hat{i} + (a m + a_{1} m_{1}) \hat{j} + (a n + a_{1} n_{1}) \hat{k}$ $v = (b l + b_{1} l_{1}) \hat{i} + (b m + b_{1} m_{1}) \hat{j} + (b n + b_{1} n_{1}) \hat{k}$ $w = (b l + b_{1} l_{1}) \hat{i} + (b m + b_{1} m_{1}) \hat{j} + (b n + b_{1} n_{1}) \hat{k}$ are coplanar.

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Jack Discussed

Prove that vectors

u = (a l + a_{1} l_{1}) \hat{i} + (a m + a_{1} m_{1}) \hat{j} + (a n + a_{1} n_{1}) \hat{k}

v = (b l + b_{1} l_{1}) \hat{i} + (b m + b_{1} m_{1}) \hat{j} + (b n + b_{1} n_{1}) \hat{k}

w = (b l + b_{1} l_{1}) \hat{i} + (b m + b_{1} m_{1}) \hat{j} + (b n + b_{1} n_{1}) \hat{k}

are coplanar.

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Question Text

Prove that vectors

u = (a l + a_{1} l_{1}) \hat{i} + (a m + a_{1} m_{1}) \hat{j} + (a n + a_{1} n_{1}) \hat{k}

v = (b l + b_{1} l_{1}) \hat{i} + (b m + b_{1} m_{1}) \hat{j} + (b n + b_{1} n_{1}) \hat{k}

w = (b l + b_{1} l_{1}) \hat{i} + (b m + b_{1} m_{1}) \hat{j} + (b n + b_{1} n_{1}) \hat{k}

are coplanar.