vectors-m

Related Questions

• Let a and b be two non-collinear unit vectors. If $\mathbf{u}=\mathbf{a}-(\mathbf{a}\,.\,\mathbf{b})\,\mathbf{b}$ and $\mathbf{v}=\mathbf{a}\times \mathbf{b},$ then | v | is

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• If $\mathbf{r}\,.\,\mathbf{i}=\mathbf{r}\,.\,\mathbf{j}=\mathbf{r}\,.\,\mathbf{k}$ and $|\mathbf{r}|\,\,=3,$ then $\mathbf{r}=$

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• If $\mathbf{a}$ and $\mathbf{b}$ are the position vectors of A and B respectively, then the position vector of a point C on AB produced such that $\overrightarrow{AC}=3\overrightarrow{AB}$ is

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• The projection of the vector $i-2j+k$ on the vector $4i-4j+7k$ is

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• If $a=(1,\,-1,\,2),\ b=(-2,\,3,\,5)$, $\mathbf{c}=(2\,,\,-2,\,4)$ and i is the unit vector in the x-direction, then $(a-2b+3c)\,.\,i=$

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