vectors-m

Related Questions

• If $\mathbf{a}=(2,\,\,5)$ and $\mathbf{b}=(1,\,\,4),$ then the vector parallel to $(\mathbf{a}+\mathbf{b})$ is

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• If $|\mathbf{a}|\,\,=3,\,\,\,|\mathbf{b}|\,\,=4$ and $|\mathbf{a}+\mathbf{b}|\,\,=5,$ then $|\mathbf{a}-\mathbf{b}|\,\,=$

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• ${{(\mathbf{r}\,.\,\mathbf{i})}^{2}}+{{(\mathbf{r}\,.\,\mathbf{j})}^{2}}+{{(\mathbf{r}\,.\,\mathbf{k})}^{2}}=$

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• If $\theta$ be the angle between the unit vectors a and b, then $\cos \frac{\theta }{2}=$

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• The value of x for which the angle between the vectors $\mathbf{a}=-\,3\mathbf{i}+x\mathbf{j}+\mathbf{k}$ and $\mathbf{b}=x\mathbf{i}+2x\mathbf{j}+\mathbf{k}$ is acute and the angle between b and x-axis lies between $\pi /2$ and $\pi $satisfy

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