Step 2 Therefore, (u . 2v) = 2(6, 6) . (-7, 5) ). Now, recall that the dot product of two vectors u = (U1, U2) and v = (V1, V2) is as follows. u . v = u1V1 + u2V2 Simplify the product using this definition of dot product of two vectors. (u . 2v) = 2(6(-7) + 6(5) = 2 + 30 = 2 Submit Skip (you cannot come back)4. [-/1 Points] DETAILS LARPCALC10 6.4.028.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use the dot product to find the magnitude of u. u = -261 Step 1 Recall that the magnitude of a vector u is given by | |u| |2 = u . u. Now find the dot product. The dot product of two vectors u = uji + uj and v = vji + v2j is u . v = ujV1 + U2V2. In this case, u1 = V1 = , U2 = and V2 = Submit Skip (you cannot come back).7. [0/1 Points] DETAILS PREVIOUS ANSWERS LARPCALC1O 6.4.049. Find u - v, where 9 is the angle between u and v. ||u|| = 60, ||u|| = 210, 9 = i -,' Need Help? 6 9. [0/1 Points] DETAILS PREVIOUS ANSWERS LARPCALC10 6.4.068. Find two vectors in opposite directions that are orthogonal to the vector u. (There are many correct answers.) U = - 2i -7j 2 negative x-component, positive y-component 90 X 14 positive x-component, negative y-component 9 y X Need Help? Read It Watch It4. [-11 Points] DETAILS LARPCALC10 6.3.018. Find the component form and the magnitude of the vector v. 7. [-10.5 Points] DETAILS LARPCALC10 6.3.046. Find a unit vector u in the direction of v. Verify that \"u\" = 1. v = (9, 3) Need Help? 12. [-/1 Points] DETAILS LARPCALC10 6.3.071. Find the component form of the sum of u and v with direction angles Ou and Ov. Magnitude Angle | | u | | = 10 Ou = 60 1/v|1 = 10 By = 90 Need Help? Read It Watch It 13. [-/1 Points] DETAILS LARPCALC10 6.3.074. Use the Law of Cosines to find the angle a between the vectors. (Assume 0