Which of the following is not a vector quantity?

  • A
    Weight
  • B
    Nuclear spin
  • C
    Momentum
  • D
    Potential energy

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The values of $x$ and $y$ for which vectors $\vec{A} = (6\hat{i} + x\hat{j} - 2\hat{k})$ and $\vec{B} = (5\hat{i} - 6\hat{j} - y\hat{k})$ may be parallel are

What is a unit vector? Explain.

$A$ vector has a magnitude $x$. If it is rotated by an angle $\theta$, then the magnitude of the change in the vector is $nx$. Match the following two columns:
Column $I$Column $II$
$(A)$ $\theta=60^{\circ}$$(p)$ $n=\sqrt{3}$
$(B)$ $\theta=90^{\circ}$$(q)$ $n=1$
$(C)$ $\theta=120^{\circ}$$(r)$ $n=\sqrt{2}$
$(D)$ $\theta=180^{\circ}$$(s)$ $n=2$

The resultant magnitude of two vectors of same magnitude is equal to the magnitude of either. The angle between the two vectors is (in $^{\circ}$)

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