$A =2 \hat{ i }+\hat{ j }, B =3 \hat{ j }-\hat{ k }$ and $C =6 \hat{ i }-2 \hat{ k }$ Value of $A -2 B +3 C$ would be
$20 \hat{ i }+5 \hat{ j }+4 \hat{ k }$
$20 \hat{ i }-5 \hat{ j }-4 \hat{ k }$
$4 \hat{ i }+5 \hat{ i }+20 \hat{ k }$
$5 \hat{ i }+4 \hat{ j }+10 \hat{ k }$
Consider a vector $F =4 \hat{ i }-3 \hat{ j }$. Another vector perpendicular of $F$ is
If $\vec{A}+\vec{B}+\vec{C}=0$ then $\vec{A} \times \vec{B}$ is ............
A boat is sent across a river with a velocity of $8\, km/hr$. If the resultant velocity of boat is $10 \,km/hr$, then velocity of the river is ........$km/hr$
The resultant of $A$ and $B$ makes an angle $\alpha$ with $A$ and $\beta$ with $B$, then
A force of $5 N$ acts on a particle along a direction making an angle of $60^{\circ}$ with vertical. Its vertical component will be $.........\,N$