vectors-m

Related Questions

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

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• Let $\mathbf{b}=3\mathbf{j}+4\mathbf{k},\,\,\mathbf{a}=\mathbf{i}+\mathbf{j}$ and let ${{\mathbf{b}}_{1}}$ and ${{\mathbf{b}}_{2}}$ be component vectors of b parallel and perpendicular to a. If ${{\mathbf{b}}_{1}}=\frac{3}{2}\mathbf{i}+\frac{3}{2}\mathbf{j}$, then ${{\mathbf{b}}_{2}}=$

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• Three points whose position vectors are $\mathbf{a}+\mathbf{b},\,\,\mathbf{a}-\mathbf{b}$ and $\mathbf{a}+k\mathbf{b}$ will be collinear, if the value of k is

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• The position vector of the points which divides internally in the ratio 2 : 3 the join of the points $2\mathbf{a}-3\mathbf{b}$ and $3\mathbf{a}-2\mathbf{b},$ is

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• Let a, b and c be vectors with magnitudes 3, 4 and 5 respectively and a + b + c = 0, then the values of a.b + b.c + c.a is

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