Questions in vectors-m

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	The perimeter of a triangle with sides $3\mathbf{i}+4\mathbf{j}+5\mathbf{k},\,$ $4\mathbf{i}-3\mathbf{j}-5\mathbf{k}$ and $7\mathbf{i}+\mathbf{j}$ is
	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
	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
	If $\mathbf{a}=2\mathbf{i}+2\mathbf{j}-\mathbf{k}$ and $\|x\,\mathbf{a}\|\,\,=1,$ then $x =$
	Which of the following is not a unit vector for all values of $theta$
	If $\mathbf{a}+\mathbf{b}$ bisects the angle between a and b, then a and b are
	If $\mathbf{a}=\mathbf{i}+2\mathbf{j}+2\mathbf{k}$ and $\mathbf{b}=3\mathbf{i}+6\mathbf{j}+2\mathbf{k},$ then a vector in the direction of a and having magnitude as \|b\| is [IIT 1983]
	If $\mathbf{p}=7\mathbf{i}-2\mathbf{j}+3\mathbf{k}$ and $\mathbf{q}=3\mathbf{i}+\mathbf{j}+5\mathbf{k},$ then the magnitude of $\mathbf{p}-2\mathbf{q}$ is
	Let $\mathbf{a}=\mathbf{i}$ be a vector which makes an angle of ${{120}^{o}}$ with a unit vector b. Then the unit vector $(\mathbf{a}+\mathbf{b})$ is
	If the position vectors of the vertices of a triangle be $6\mathbf{i}+4\mathbf{j}+5\mathbf{k},\,\,\,4\mathbf{i}+5\mathbf{j}+6\mathbf{k}$ and $5\mathbf{i}+6\mathbf{j}+4\mathbf{k},$ then the triangle is

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