We recently had an assignment in my Physics class. It's nothing entirely difficult for most of the members here but I thought I had done things correctly with the assignment.

Turns out I hadn't. Could someone just show me how I might go about answering the following questions without providing me the answers? What steps would I take to answer each one because I fear I'm completely lost and do not want to fall behind.

1.) Find the angles between the Vectors.

A= 3i + 2j

B= -j + 6j

C= 7i - 2j

2.) Given the two vectorsA= -2i + 3j + 4k andB= 3i + j - 3k, do the following

a) Find the magnitude of each vector

b)Write an expression for the vector difference A-B using unit vectors

c)Find the magnitude of the difference A-B. Is this the same as B-A? Explain.

3.) Obtain a unit vector perpendicular to the two vectors given in problem #2.

4.) Find the Cross product ofA= i -2j + 3k andB= 2i +4j +2k

5.) You are given vectorsA= 5i - 6.5j andB= -3.5i + 7j. A third, C, lies in the xy plane.Cis perpendicular toA,

and the scalar product ofCwithBis 15. Find the components ofC.

6.) Two vectors, A and B have the same magnitude, A = 3 and B = 3. Their vector product is AxB = -5k +2i. What

is the angle between them?

Any amount of help with any of these is appreciated.