Vector Algebra ...

If $$\vec A=\vec B + \vec C$$ and the magnitude of $$A,B$$ and $$C$$ are $$5,4$$ and $$3 $$ minutes respectively,then the angle between $$A$$ and $$C$$ is:

The resultant of two forces acting at an angle of $$150^\circ$$ is $$10$$ N and its perpendicular to one of the forces.The two other force is:

Three forces of magnitude $$6\  N$$,$$6\  N$$ and $$\sqrt {72}\  N$$ act at a corner of a cube along three sides as shown in the figures.The resultant of these forces is:

If $$\vec { a }$$ and $$\vec { b }$$ are two unit vector and $$\theta$$ is the angle between them, then $$\left( \vec { a } +\vec { b }  \right)$$ is a unit vector if $$\theta =$$

The projection of $$\vec {i} - \vec {j}$$ on $$z$$-axis is

In the given polygon the $$\vec {AD} $$ is equal to :

If $$\overrightarrow { a } $$ is vector of magnitude $$x$$ , $$m$$ is non-zero scalar and $$m\overrightarrow { a } $$ is a unit vector then x in terms of m is:

Which of the following diagram is correct?

If $$\overrightarrow{b}$$ and $$\overrightarrow{c}$$ are the position vectors of the points B and C respectively, then the position vector of the point D such that $$\overrightarrow{BD}=4\overrightarrow{BC}$$ is