Suppose that u and v are unit vectors such that (u, v) =-1/2. Find |3u+v|.
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Above we are using properties of inner product.
Suppose that u and v are unit vectors such that (u, v) =-1/2. Find |3u+v|.
Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely.) u = i, v= -4j 2u = -3v = u + V = 3u - 4 = 17. [-12.94 Points) DETAILS SPRECALC75.3.024. Find the amplitude and period of the function. y = -5 sin(6x) amplitude period Sketch the graph of the function. AA Am Type here to search A
Suppose T: ℝ3→ℝ2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given. Find T(3U+3V). Suppose T: R->R2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given. Find T(3U+3V). 5 5 6 T(V) 6 =n 2 -3 T(U) V = 3 -4 3 -4 Suppose T: R->R2 is a linear transformation. Let U and V...
Given vectors u and v, find (a) 5u (b) 5u +3v (c) v-3u. u = 4i, v = 8i + 3j (a) 5 = (Type your answer in terms of i and j.) (b) 5u + 3y = (Type your answer in terms of i and j.) (c) v- 3u = (Type your answer in terms of i andj.)
6-7. Given vectors U = -41 +12, V=51-2), W =-31 - 1 6. Find a) 3U - 5V._b) 2V - WI 7. a) UW What can you tell from the result? b) angle between U and V (keep one digit after decimal. calculator ok)
Use the vectors u = i + 5j and v= -61 - 7j. Find 4v + 5u. Additional Materials eBook Vector Operations Learn by Example Submit Answer -/10 POINTS OSCAT1 10.8.512. 0/100 Submissions Used Use the given vectors to compute u + v, u - v, and 3u - 4v. u = (7,-5), v = (3, 4) U + V = u - v = 3u - 4 =
For the pair of vectors, find 3U-4V U=(3,2), V=(-4,3) a. (25, -6) ob. (25.6) Oc(24,-5) O d. (-24,5) O e. (6. – 25)
1- Two vectors are given as u = 2 – 5j and v=-{+3j. a- Find the vector 2u +3v (by calculation, not by drawing). (4 pts) b- Find the magnitudes luand il of the two vectors. (4 pts) c- Calculate the scalar product u•v. (5 pts) d- Find the angle between the vectors u and v. (6 pts) - Calculate the vector product uxv. (6 pts)
if u=<3,9> and v=<-3,1>, find 1/3u-2v. <0,4> <7,10> <0,10> <-2,1> <7,1> <-2,4>
Suppose that u and v are non-zero vectors in Rn. Verify that the two vectors u and v - (u.v/u.u)u are orthogonal. Then pick two specific vectors u and v in R2. Plot the three vectors, u, v and v - (u.v/u.u)u on the same graph. Explain the geometric significance of v - (u.v/u.u)u
1. Given the vectors ū=(1,-2,-6) and v = (0,-3,4), a) Find u 6v. b) Find a unit vector in the opposite direction to ū. c) Find (ü.v)v. d) Find 11: e) Find the distance between ū and v. f) Are ū and y parallel, perpendicular, or neither? Explain. g) Verify the Triangle Inequality for ū and ū.