vectors-m

Related Questions

• If the vector $\mathbf{i}+\mathbf{j}+\mathbf{k}$ makes angles $\alpha ,\,\beta ,\,\gamma $with vectors $\mathbf{i},\,\mathbf{j},\mathbf{k}$respectively, then

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• ABCDE is a pentagon. Forces $\overrightarrow{AB},\,\overrightarrow{AE},\,\overrightarrow{DC},\,\overrightarrow{ED}$ act at a point. Which force should be added to this system to make the resultant ${{\cos }^{-1}}\frac{4}{5}$

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• If $\mathbf{a}=2\,\mathbf{i}+2\,\mathbf{j}+3\,\mathbf{k},\,\,\mathbf{b}=-\mathbf{i}+2\,\mathbf{j}+\mathbf{k}$ and $c=3\,\mathbf{i}+\mathbf{j},$ then $\mathbf{a}+t\,\mathbf{b}$ is perpendicular to c if $t=$

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• If $|\mathbf{a}|\,=4,\,|\mathbf{b}|\,=2$ and the angle between a and b is $\frac{\pi }{6}$, then ${{(\mathbf{a}\times \mathbf{b})}^{2}}$ is equal to

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• If in a right angled triangle ABC, the hypotenuse $AB=p,$ then $\overrightarrow{AB}\,\,.\,\,\overrightarrow{AC}+\overrightarrow{BC}\,.\,\,\overrightarrow{BA}+\overrightarrow{CA}\,\,.\,\,\overrightarrow{CB}$ is equal to

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