If a vector $\overrightarrow P $ making angles $\alpha, \beta\ and\ \gamma$ respectively with the $X, Y$ and $Z$ axes respectively. Then ${\sin ^2}\alpha + {\sin ^2}\beta + {\sin ^2}\gamma = $
- A$0$
- B$1$
- C$2$
- D$3$
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Which of the following is a unit vector?
For component of a vector $A =(3 \hat{ i }+4 \hat{ j }-5 \hat{ k })$, match the following colum.
Colum $I$
Colum $II$
$(A)$ $x-$axis
$(p)$ $5\,unit$
$(B)$ Along another vector $(2 \hat{ i }+\hat{ j }+2 \hat{ k })$
$(q)$ $4\,unit$
$(C)$ Along $(6 \hat{ i }+8 \hat{ j }-10 \hat{ k })$
$(r)$ $0$
$(D)$ Along another vector $(-3 \hat{ i }-4 \hat{ j }+5 \hat{ k })$
$(s)$ None
| Colum $I$ | Colum $II$ |
| $(A)$ $x-$axis | $(p)$ $5\,unit$ |
| $(B)$ Along another vector $(2 \hat{ i }+\hat{ j }+2 \hat{ k })$ | $(q)$ $4\,unit$ |
| $(C)$ Along $(6 \hat{ i }+8 \hat{ j }-10 \hat{ k })$ | $(r)$ $0$ |
| $(D)$ Along another vector $(-3 \hat{ i }-4 \hat{ j }+5 \hat{ k })$ | $(s)$ None |