Solve the problem.Find the area of the parallelogram determined by the points P(7, -5, 5), Q(2, -7, -3), R(-2, 5, -2) and S(-7, 3, -10).

Which of the following vectors is orthogonal to 20i – 8j?

Use the given vectors to find the indicated expression.v = 3i – 2j – 4k, w = -2i + 4j + 3k Find v × (4w).   Type your answer in the given answer box.  You may need to use the equation editor found in the editing menu.  If the equation editor is not showing, click on the three vertical dots to expand the menu. 

Find the requested vector.v = 2i + 3j + k, w = 4i + 2j – kFind a vector orthogonal to both v and w. Type your answer in the given answer box.  You may need to use the equation editor found in the editing menu.  If the equation editor is not showing, click on the three vertical dots to expand the menu.  Be sure to use proper vector notation.  Use either angled brackets or i, j, k format, but not both.

How much work does it take to slide a box 6 meters along the ground by pulling it with a 158 N force at an angle of 15° from the horizontal?

Find the triple scalar product,  (u x v) ∙ w,  of the given vectors.u = i + j + k; v = 8i + 5j + 2k; w = 9i + 6j + 4k

Solve the problem.An audio speaker that weighs 50 pounds hangs from the ceiling of a restaurant from two cables as shown in the figure. To two decimal places, what is the tension in the two cables?

Express the vector in the form ai + bj. 

Find the distance between points P1 and P2. P1(1, -1, -2) and P2(5, -6, -5) Type your answer in the given answer box.  You may need to use the equation editor found in the editing menu.  If the equation editor is not showing, click on the three vertical dots to expand the menu. 

Identifica lo que es un hiato.