Assignment7: Problem 7 (1 point) Suppose v - w = 6 and \"V x W\" = 4. and the angle between v and w is 9. Find . (a) tan 9 = 1.732 (\")9 = 0.133 (in radians) Note: You can earn partial credit on this problem Preview My Answers Submit Answers 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) xi) xj= (b) (j + k) x (j x k) = (c) 21 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. WE DOW 99Assignment7: Problem 11 (1 point) Find the volume of a parallelepiped which is defined by the vectors p - 4 - 2 and- - 5 -5 Volume = Preview My Answers Submit Answers You have attempted this problem 0 times You have 3 attempts remainingAssignment7: Problem 12 (1 point) Find a vector equation with parameter t for the line through the point (7, 0, -2) and parallel to the vector 2i - 5j + 5k. Answer x (t) Note you must enter your answer as a WeBWork vector with the parameter t. For example . Alternatively you can use unit vectors i, j, k and vector operations of addition, etc., in your expression. Preview My Answers Submit AnswersAssignment7: Problem 13 (1 point) Suppose a line is given parametrically by the equation x(t) = (-4 - 5t, 3 + 5t, -2t) . The vector and point that were used to define this line were v=(0.0.0). and P =(0.0.0) Note: You can earn partial credit on this problem. Preview My Answers Submit AnswersAssignment7: Problem 14 (1 point) Give a vector parametric equation for the line through the point (0, 4, -2) that is parallel to the line (3t - 2, -3 - 3t, 4 + 2t) x(t) Remember to use WeBWork vector notation and the parameter t in your answer. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining Email InstructorAssignment7: Problem 15 (1 point) Find a vector equation with parameter t for the line through the points (-1, -7, -4) and (-13, 8, 3). x (t) Remember to use WeBWork vector notation and the parameter t in your answer. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining.Assignment7: Problem 16 (1 point) Give a vector parametric equation for the line through the point (-2, 4) that is perpendicular to the line (4t - 3, 3). x(t) Remember to use WeBWork vector notation and the parameter t in your answer. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining.Assignment7: Problem 17 (1 point) Rewrite the vector equation x(t) = (2 - 3t)i + (5 + 5t)j + (4 + 3t)k as the corresponding parametric equations for the line. y(t) 2(1) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remainingAssignment7: Problem 18 (1 point) Consider the line given by x(t) = (-1 - t, 2 - t). Then the line intersects: 1. The c-axis at the point when t = 2. The y-axis at the point when t = 3. The parabola y = at the points and when t = and Remember to use point notation like (2, 3) for any points. Note: You can earn partial credit on this problem.Assignment7: Problem 19 (1 point) Find the intersection of the lines r(t) = (-1 - 2t, 17 + 6t, 26 + 8t) and R.(s) = (-6 + 5s, 12 - 5s, 4 + s). Answer Write your answer as a point (a, b, c) where a, b, and c are numbers. If there is no intersection, write none. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 3 attempts remaining