Consider a vector of magnitude If this vector is perpendicular to both and what is the square of its -coordinate?
Given two vectors such that and what is the magnitude of
Torque is vector that measures the tendency of a force to rotate an object about an axis. It is given by the formula
where is the displacement vector (pointing from the axis to the point at which the force is applied) and is the force vector. If a disc rotates counter-clockwise on a record player, as shown in the figure above, what is the direction of the torque?
Find the volume of the parallelepiped spanned by the vectors and
What is the volume of the tetrahedron whose vertices are and