Which of the following statements are true? (A) The vector joining the points P(2, 3, 0) and Q(-1,-2,-4) directed from P to Q is PQ = -3 i - 5 j - 4…

Which of the following statements are true?

(A) The vector joining the points P(2, 3, 0) and Q(-1,-2,-4) directed from P to Q is $\vec{PQ} = -3\hat{i} - 5\hat{j} - 4\hat{k}$PQ​=−3i^−5j^​−4k^

(B) Projection of a vector $\vec{a}$a on other vector $\vec{b}$b is $\frac{\vec{a}.\vec{b}}{|\vec{a}|}$∣a∣a.b​

(C) If $\vec{a} = \hat{i} - 2\hat{j} + \hat{k}$a=i^−2j^​+k^ and $\vec{b} = -2\hat{i} + 4\hat{j} + 5\hat{k}$b=−2i^+4j^​+5k^ then $\vec{a} + \vec{b} = -\hat{i} + 2\hat{j} + 6\hat{k}$a+b=−i^+2j^​+6k^

(D) If $\theta$θ is the angle between $\vec{a}$a and $\vec{b}$b then $\cos \theta = \frac{\vec{a}.\vec{b}}{|\vec{a}||\vec{b}|}$cosθ=∣a∣∣b∣a.b​

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