Directions: In 25-27, let u = 15-6i .V=-5+ 4i, and w=-2-i. [25] Simplify u + 3v:...
(24) Which polar point is not approximately equivalent to the polar point (12, 6)? (12, 12.28) (12, -28) C. (-12, 2.86) D. (-12,-2.86) A. B. E. all of these are approximately equivalent Directions: In 25-27, let u = 15 - 6i, v = -5+4i , and w= -21. [25] Simplify u + 3v: A) -6i B) 6i C) 30-61 D) 30+6i E) none of these [26] Find the sum of the conjugate of v and the conjugate of w. A)...
6-7. Given vectors U = -4i +12, V = 5i - 2j, W=-3i- 6. Find a) 30 - 5V._b) 2V - W'. 7. a) UW What can you tell from the result? b) angle between U and V (keep one digit after decimal. calculato
if v=-4i+2j and w=2i-3j then find a= v+w b=b-w c=3v d=2v+2w 7. If v =-4i+ 2j and w = 2i - 3j. Then find (Section 7.6) a. vw b. v -w C. 3v d. 2v2w
6. Given u= 2 + 31, p= 1 - 2i and w= -3 – 6i where i = V-1 is the imaginary unit. Evaluate the following: A) (u + v B) u + 20 C) 4–3v + 2w D) U E ) uv F) (ulvt G) v/w
Q6 - 21 Let u : | -71, v-| -31, and w=| 27 |. It can be shown that-3u-2v-w=0. Use this fact (and no row 4 - 21 27 2 x1 operations) to find x1 and X2 that satisfy the equation73 4-7 2 2 (Simplify your answers.)
25 and 27 please 24. u i, v i+j, w i+j+k 36. L 25-26 Use a scalar triple product to find the volume of the parallelepiped that has u, v, and w as adjacent edges. 37. W u = (2,-6, 2), v 〈0, 4,-2), w = (2, 2,-4) to 38. S the vectors lie in the same plane. u=51-2j + k, v=4i-j + k, w=i-j ide 28. Suppose that u (v X w)3. Find (a) u" (w × v) (c)...
[3] Given: u = -8i + 6 v = i- j w = 4i - 8j T = -10i Point Pat (-17, -v2), point at (-9, 11), and point Rat (8, -15) Five of the following six parts are each worth 3 points. Part b is worth 5 points. a) Find the position vector, in xi + yj form, for the vector whose initial point is R and whose terminal point is 9. b) Sketch the position vector determined by...
Problem #6: Let u = (i, 21,6), v = (5,-21, 1+i), w = (2-i, 21, 8 + 6i). Compute (u: v) wu Express your answer in the form a + bi and enter the values a and b (in that order) into the answer box below, separated with a comma. Problem #6: -35,27 Values of a and b, separated with a comma. Just Save Submit Problem #6 for Grading Problem #6 Attempt #3 Your Answer: Attempt #1 13,27 0/2x Attempt...
Problem 13 Let u = | 2 | . 112 = | 1 | . Also let u = 13 a) Compute prw(v) where W Spanui, u2] b) Co d W c Determine the least-squares approximation of v by a vector in W. inputc the distance betwecn v an Problem 13 Let u = | 2 | . 112 = | 1 | . Also let u = 13 a) Compute prw(v) where W Spanui, u2] b) Co d W...
Problem #7: Which of the following statements are always true for vectors in R3? (i) If u (vx w)-4 then w - (vxu)-4 (ii) (5u + v) x (1-40 =-21 (u x v) (ili) If u is orthogonal to v and w then u is also orthogonal to w | V + V W (A)( only (B) (iii) only (C) none of them (D) (i) and (iii) only (E) all of them (F) (i) only (G)i and (ii) only (H)...