Please answer each of them thanks

Section 9.4 9.4.7 Exercises 1. IIn 1 134 4kandh 14j4 4k Compute the cross product a * b. j + k Make Interactive 2. Supposed. @ -7 and 3 * @| 2 and the angle between $ and @ is 8, Find (a) tand Make Interactive 4. If a = 1+ 10j + k and b = 1+ 1aj + k, find a unit vector with positive first coordinate orthogonal to both a and b. Make Interwelive 5. Sketch the triangle with vertices O, P = (0, 2, 2) and Q = (4, 0, 7) and compute its area using cross products. Area- Make Interactive 8. Use the geometric definition of the cross product and the properties of the cross product to make the following calculations. (a) ((+3) x7)x]- (b) G + k) x ( x 1) = Make Interactive 9. Are the following statements true or false? a. ( 1 x 3 ) . 4 - 7 . ( x 1). b. If # and # are any two vectors, then I# + all - 191 + Del C. For any scalar e and any vector # we have jjcell - cjfell. d. The value of U . (# x ) is always zero. Make Interactive 12. Let x = (1, 1, 1) andy = (0,3, -2). a. Are x and y orthogonal? Are x and y parallel? Clearly explain how you know, using appropriate vector products. b. Find a unit vector that is orthogonal to both x and y. C. Express y as the sum of two vectors: one parallel to x, the other orthogonal to x. d. Determine the ares of the parallelogram formed by x and y