Assignment7: Problem 5 (1 point) Parallelogram ABCD has vertices A(4, 4, 4), B(4, 2, 4), and C(2, 1, 2). Detj'nine the coordinates of point D: D = (Cl-C] D) Determine the area of parallelogram .4300 Area = [3 (Note that the points .4300 are assumed to be labelled consecutlvely for the parallelogram as usual.) Note: You can earn partial credit on (Ills problem Assignment7: Problem 7 (1 point) Suppose v - w = 5 and \"V x w|| = 4, and the angle between v and w is 9. Find (a) tang = (b) 9 = (in radians) Note: You can earn partial credit on (ms prob/em Preview My Answers Submit Answers You have attempted this problem 2 times Assignment7: Problem 9 (1 point) Use the geometric definition of the cross product and the properties of the cross product to make the following calculations with the elemental unit vectors. (a) ((i + j) x i) x j = ( b ) ( j + k) x (j x k) = (c) 51 x (i + j) ( d) (k + j) x ( k - j) = Note that you can enter your results using WeBWork vector notation or using unit vectors. For example or equivalently 2i + k. arch WE EC 99+ -8 CAssignment7: Problem 10 (1 point) Calculate the cross product assuming that u x w = (3, 7, -2) (2u 3w) Xw= -8 -13 -27 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 0% You have 2 attempts remaining.Assignment7: Problem 11 (1 point) Find the volume of a parallelepiped which is defined by the vectors p - 4 . - 8 . and x - [ 3 ] Volume Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remainingAssignment Problem 12 (11-point) I ' ' Find a vector equation with parameter t for the line through the point (2,0, ,2) and parallel to the vector 2i v 3j + 5k. ' ' _ l AnsWer: x(t) : D l ' Note you must enter your answer as a WeBWorK vector with the parameter t. I For example _ Alternatively you can use unit vectors i. j, k and vector operations of addition, etc, in your expression, Preview My Answers Submit Answers . You have attempted this problem 0 times You have 3' attempts remaining, Assignment7: Problem 13 (1 point) Suppose a line is given parametrically by the equation x(t) = (1 + 5t, 4t - 3, -2 - 5t) . The vector and point that were used to define this line were * =(0.0.Q), and P =(0.0.0) Note: You can earn partial credit on this