The direction cosines of vector $( A - B )$, if $A =2 \hat{ i }+3 \hat{ j }+\hat{ k }, B =2 \hat{ i }+2 \hat{ j }+3 \hat{ k }$ are
- A$0, \frac{1}{\sqrt{5}}, \frac{-2}{\sqrt{5}}$
- B$0, \frac{2}{\sqrt{5}}, \frac{1}{\sqrt{5}}$
- C$0,0, \frac{1}{\sqrt{5}}$
- DNone of the above
Similar Questions
When the resolution of vector is required ?
When the resolution of vector is required ?
Two vectors $\overrightarrow a $ and $\overrightarrow b $ are at an angle of $60^o$ with each other. Their resultant makes an angle of $45^o$ with $\overrightarrow a $ . If $|\overrightarrow b | = 2\,units$ then $|\overrightarrow a |$ is:-
Two vectors $\overrightarrow a $ and $\overrightarrow b $ are at an angle of $60^o$ with each other. Their resultant makes an angle of $45^o$ with $\overrightarrow a $ . If $|\overrightarrow b | = 2\,units$ then $|\overrightarrow a |$ is:-
A particle starting from the origin $(0,0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt 3,3)$ . The path of the particle makes with the $x -$ axis an angle of ....... $^o$
A particle starting from the origin $(0,0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt 3,3)$ . The path of the particle makes with the $x -$ axis an angle of ....... $^o$
What is the maximum number of rectangular components into which a vector can be split in space?
Two vectors of magnitude $3$ & $4$ have resultant which make angle $\alpha$ & $\beta$ respectively with them $\{given\, \alpha + \beta \neq 90^o\}$
Two vectors of magnitude $3$ & $4$ have resultant which make angle $\alpha$ & $\beta$ respectively with them $\{given\, \alpha + \beta \neq 90^o\}$