vectors-m

Related Questions

• The angle between the vectors a + b and a – b, when $\mathbf{a}=(1,\,1,\,4)$ and $b=(1,\,-1,\,4)$ is

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• The area of a parallelogram whose two adjacent sides are represented by the vector $3\mathbf{i}-\mathbf{k}$ and $\mathbf{i}+2\mathbf{j}$ is

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• The points $A\,(\mathbf{a}),\,B\,(\mathbf{b}),\,C\,(\mathbf{c})$ will be collinear if

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• $\mathbf{r}\times \mathbf{a}=\mathbf{b}\times \mathbf{a};\,\,\mathbf{r}\times \mathbf{b}=\mathbf{a}\times \mathbf{b};\,\,\mathbf{a}\ne 0;\,\,\mathbf{b}\ne 0;\,\,\mathbf{a}\ne \lambda \mathbf{b},\,\,$a is not perpendicular to b, then $\mathbf{r}=$

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• If OP = 8 and $\overrightarrow{OP}$ makes angles ${{45}^{o}}$ and ${{60}^{o}}$ with OX-axis and OY-axis respectively, then $\overrightarrow{OP}=$

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