vectors

Physics test on VectorsA man walks 5kms. to the south from his house and then he returns towards east at 7kms. Determine the displacement of the walker.If vector 2i suri2i+ 2j + k and 3i – 6j + nk are mutually perpendicular. Then find the value of n.If two vectors are A = 2i – 3j + k and B = -2i + 4j – kFind the area of the parallelogram (if A, B are two adj. sides of the parallelogram)Find the area of the triangle (if A, B are two adj. sides of the triangle)Find the angle between the following vectors A = i + 2j – k, B = i + j – 2k Find the unit vector of the vector A = 2i + 3j.What is the torque of a force F = (2i – 3j + 4k) N acting at a point r = (3i + 2j +3k)M about the origin?Find the x and y components of the vector which has a magnitude of 10 units and direction 450 north of east.A force of 4i + 2j –3k N displaces an object to a displacement of 2i – 3j – k m then calculate the amount of work done.Components of a vector along x, y – axes is given by -4, -6 respectively. Then find the magnitude and direction of the vector. Linear momentum of an object is given by 2i+j-k and its position vector is i+j+2k. Find the angular momentum vector.