Is `hati + hatj` a unit vector, explain.

Consider a vecotor vector F = 4hati - 3hatj . What is the vector perpendicular to F?

A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by F=-hati+2hatj+3hatk N where hatihatjhatk are unit vectors along the x-, y- and z-axis of the system respectively. What is the work done by this force in moving the body a distance of 4 m along the z-axis?

What is unit vector? Prove that magnitude of unit vector is one.

Are all unit vectors equal ?

Find the projection of the vector hati + 3hatj + 7 hatk on the vector 7 hati -hatj + 8 hatk .

What is the value of m in hati+mhatj+hatk to be unit vector?

Write the projection of vector hati-hatj on the vector hati + hatj .

Find the projection of verctor 2hati+hatj on the vector hati+2hatj .