Tag Archives: Vector Problems

A vector A of magnitude ten units and another vector B of magnitude six units point in direction differing by 60°. Fine (a) the scalar product of the two vectors and (b) the vector product of two vectors.

Show that A * (B x C) is equal in magnitude to the volume of the parallelepiped formed on the three vectors A, B, and C.

A person flies from Washington to Manila. (a) Describe the displacement vector. (b) What is its magnitude if the latitude and longtitude of the two cities are 39° N, 77° W, and 15° N, 121° E ?

Two vector of length A and B make an angle of with each other when placed tail to tail. Prove, by taking components along two perpendicular axes, that the length of thair sum is

A room has dimensions 10m x 12m x 14m. A fly starting at one corner ends up at a diametrically opposite corner. (a) What is the magnitude of its displacement? (b) Could the length of its path be less than … Continue reading →

Two vectors A and B are added. Show that magnitude of the resultant cannot be greater than A+B or smaller than |A-B|, where the vertical bars signify absolute.