Vectors Question 163

Two vectors A and B have equal magnitudes. Then the vector A + B is perpendicular to

Options:

A) x-axis

B) y-axis

C) z-axis

D) Line at equal angles to all the three axes

Show Answer

Answer:

Correct Answer: A

Solution:

$ \vec{L}=\vec{r}\times \vec{p}=| ,\begin{matrix} {\hat{i}} & {\hat{j}} & {\hat{k}} \\ 1 & 2 & -1 \\ 3 & 4 & -2 \\ \end{matrix}, | $

$ =-\hat{j}-2\hat{k} $ i.e. the angular momentum is perpendicular to the x-axis.



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