vectors-m

Related Questions

• 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 value of b such that scalar product of the vectors $(\mathbf{i}+\mathbf{j}+\mathbf{k})$ with the unit vector parallel to the sum of the vectors $(2\mathbf{i}+4\mathbf{j}-5\mathbf{k})$ and $(b\mathbf{i}+2\mathbf{j}+3\mathbf{k})$ is 1, is

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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 points with position vectors $60\,\mathbf{i}+3\,\mathbf{j}$ , $40\,\mathbf{i}-8\mathbf{j},$ , $a\,\mathbf{i}-52\,\mathbf{j}$ are collinear, if $a=$

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• If a and b are mutually perpendicular vectors, then ${{(\mathbf{a}+\mathbf{b})}^{2}}=$

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