You must acknowledge the following item by typing the entire bolded sentence while replacing “[insert my first and last names here]” with your first and last names:I, [insert first and last names here], acknowledge that Mrs. Sharp may assign an F grade for the course if she determines I have used Artificial Intelligence in the process of creating any writing assignment or coursework.

You must acknowledge the following item by typing the entire bolded sentence while replacing “[insert my first and last names here]” with your first and last names:I, [insert first and last names here], acknowledge that Mrs. Sharp has the right to require me to revise and resubmit any coursework she suspects was created with the assistance of Artificial Intelligence.

The voting Rights Act of 1965 has had the effect of

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?