For the vector, Á = 6î+ 6j-3k and B = 7i+ 4j+ 4k, calculate the angle between the vectors. Also find the vector product of these two vectors. Consider an airplane that has a speed of 105km/h, flying in a 90km/h crosswind blowing from West to East. Calculate its ground velocity when its nose is pointed North in the crosswind.

For the vector, Á = 6î+ 6j-3k and B = 7i+ 4j+ 4k, calculate the angle between the vectors. Also find the vector product of these two vectors. Consider an airplane that has a speed of 105km/h, flying in a 90km/h crosswind blowing from West to East. Calculate its ground velocity when its nose is pointed North in the crosswind.