For the components of a vector $\vec{A} = (3 \hat{i} + 4 \hat{j} - 5 \hat{k})$,match the following columns.
Column $I$ Column $II$
$(A)$ Component along $x$-axis $(p)$ $5 \text{ unit}$
$(B)$ Component along vector $(2 \hat{i} + \hat{j} + 2 \hat{k})$ $(q)$ $4 \text{ unit}$
$(C)$ Component along $(6 \hat{i} + 8 \hat{j} - 10 \hat{k})$ $(r)$ $0$
$(D)$ Component along $(-3 \hat{i} - 4 \hat{j} + 5 \hat{k})$ $(s)$ None

  • A
    $(A \rightarrow q, B \rightarrow r, C \rightarrow s, D \rightarrow s)$
  • B
    $(A \rightarrow p, B \rightarrow r, C \rightarrow s, D \rightarrow s)$
  • C
    $(A \rightarrow r, B \rightarrow q, C \rightarrow s, D \rightarrow s)$
  • D
    $(A \rightarrow q, B \rightarrow r, C \rightarrow s, D \rightarrow p)$

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