vectors-m

Related Questions

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

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• If the position vectors of the vertices of a triangle be $2\mathbf{i}+4\mathbf{j}-\mathbf{k},$ $4\mathbf{i}+5\mathbf{j}+\mathbf{k}$ and $3\mathbf{i}+6\mathbf{j}-3\mathbf{k},$ then the triangle is

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• If a and b are unit vectors and $\mathbf{a}-\mathbf{b}$ is also a unit vector, then the angle between a and b is

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• If one side of a square be represented by the vector $3\mathbf{i}+4\mathbf{j}+5\mathbf{k},$ then the area of the square is

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• If a, b and c be three non-zero vectors, no two of which are collinear. If the vector $\mathbf{a}+2\mathbf{b}$ is collinear with c and $\mathbf{b}+3\mathbf{c}$ is collinear with a, then ($\lambda $ being some non-zero scalar) $\mathbf{a}+2\mathbf{b}+6\mathbf{c}$ is equal to

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