2. [-/2 Points] DETAILS SESSCALC2 10.5.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 14, -6) and parallel to the line x = -1 + 2t, y = 6 - 4t, z = 3 + 9t (x(t), y(t), z(t)) - Need Help? Read It Submit Answer 3. [-/2 Points] DETAILS SESSCALC2 10.5.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (1, 0, 8) and perpendicular to the plane x + 4y + z = 3 r(t) - (x(t), y(t), z(t)) -( Need Help? Read It Watch It Submit Answer 4. [-/2 Points] DETAILS SESSCALC2 10.5.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find parametric equations for the line. (Use the parameter t.) The line through the points (0, 2, 1) and (7, 1, -7) (x(t), v(t), =()) - ( Find the symmetric equations. O 2x - 2 - 1-7. 2+7 Ox - 7 = 2y -2=z+7 07+ 7x - 1 + X - -7 - 8z Ox47 - 2y - 2 . 2-7 - 8 OX-7- 2y - 2- 2+7 Need Help? Read It Watch it Submit Answer 5. [-/2 Points] DETAILS SESSCALC2 10.5.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine whether the lines , and 42 are parallel, skew, or intersecting. L1: x = 6 + 4t, y = 8 - 2t, z = 2 + 6t Ly: x = 1 + 4s, y = 3 - 2s, z = 4 + 5s O parallel O skew O intersecting If they intersect, find the point of intersection. (If an answer does not exist, enter DNE.) (x, y. z) - ( Need Help? Read It Submit Answer 6. [-/1 Points] DETAILS SESSCALC2 10.5.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an equation of the plane. The plane through the point (5, -9, -2) and parallel to the plane 4x - y - z = 9 Need Help? Read It Submit Answer 7. [-/1 Points] DETAILS SESSCALC2 10.5.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an equation of the plane The plane through the points (0, 6, 6), (6, 0, 6), and (6, 6, 0) Need Help? Read It Watch It Submit Answer3:28 Files chrome://external-file 2. [-/4 Points] DETAILS SESSCALC2 10.4.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The figure shows a vector a in the xy-plane and a vector b in the direction of k. Their lengths are lal = 6 and (bl = 2. 1 of 1 (@) Find a x b|. (b) Use the right-hand rule to decide whether the components of a x b are positive, negative, or 0. x-component -Select- y-component -Select- 7-component -Select- Need Help? Read it Submit Answer . [-/2 Points] DETAILS SESSCALC2 10.4.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find two unit vectors orthogonal to both (5, 2, 1) and (-1, 1, 0). (smaller i-value) (larger i-value) Need Help? Read It Summit Answer . [-/1 Points] DETAILS SESSCALC2 10.4.027. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the area of the parallelogram with vertices A(-2, 5), 8(0, H), C(4, 6), and 12(2, 3). Need Help? Read it Watch It Submil Answer 5. [-/2 Points] DETAILS SESSCALC2 10.4.032. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the paints below. P(-1, 2, 1). (2(D. 6, 2), R(3, 2, -1) (a) Find a nonzero vector ortho lane through the points P, Q, and R. (b) Find the area of the triangle PQR. Need Help? Read It Submit Answer . [-/1 Points] DETAILS SESSCALC2 10.4.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 4, 4), b = (-1, 1, 3), c = (5, 1, 5) cubic units Need Help? Read It Submit Answer . [-/1 Points] DETAILS SESSCALC2 10.4.038. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Ise the scalar triple product to determine whether the points A(3, 2, 2), 5(4, -4, 8). C(s, -1. 0), and (2(8, 5. -6) het same plane. O Yes, they lie in the same plane OND, they do not lie in the same plane. Need Help? Read It Submit Answer . [-/1 Points] DETAILS SESSCALC2 10.4.039.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A bicycle pedal is pushed by a foot with a GD-N force as shown. The shaft of the pedal is 16 cm long. Find the magnitude torque about P. (Round your answer to one decimal place.) N . m 60 N 10 Need Help? Read it Watch It Master it Summit Answer + 97