7-10 - Terminal Point of a Vector If the vector v has initialpoint P, what is its terminal point?7. v = (3, 4, -2),8. v = (0, 0, 1), P(0, 1, –1)9. v %3 (-2,0, 2), Р(3,0, -3)P(2, 0, 1)10. v = (23, -5, 12). P(-6, 4, 2)

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Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.4: Vectors In Three Dimensions

Problem 9E

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Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. a Explain what it means to say that a set of vectors is linearly independent. b Determine whether the set S is linearly dependent or independent. S={(1,0,1,0),(0,3,0,1),(1,1,2,2),(3,4,1,2)}
Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check your work against the answers in the back of the book. Write w=(7,2,4) as a linear combination of the vectors v1, v2 and v3 if possible. v1=(2,1,0), v2=(1,1,0), v3=(0,0,6)
The vector v = ⟨−1, 3⟩ and its Initial point: (4, 2). Find the terminal point.
A vector u has an initial point (1,2,3) and terminal point (6,9,1). Find a vectorv that has the opposite direction of u, but a magnitude of 2.
1. a)Given initial point P1 = (−3, 4)and terminal point P2 = (1, 6),write the vector v in terms of i and j. b)Given initial point P1 = (−2, 1)and terminal point P2 = (5, 4), write the vector v in terms of i and j.
4. Find an initial point ? of a nonzero vector u = PQ with terminal point Q(3, 0, −5) and such that u as the same direction as v = (5, −3, −2).
1.Find the distance between u = (2, -2, 3) and v = (3, -3, 4).2.The magnitude of the vector v = (-2, -3, 4) is3.Find the components of the vector whose initial point is (2, 3) and terminal point at (-3, 3).
Vector w has initial point (2, −1, 3) and terminal point (−4, 7, 5). Which of the following vectors is parallel to w? a. u = ⟨3, −4, −1⟩ b. v = ⟨12, −16, 4⟩
If vector u has initial point (3,0) and terminal point (7,-2), find the linear combination of vector u. A) 4i-2i B) -4i-2j C) 10i+2j D) 7i-2j
1.Find the components of the vector whose initial point is (2, 3) and terminal point at (-3, 3).2.Let u = (1, 0, -2) and v = (2, -1, 0). Find the components of -3(u - 2v)3.If the norm of u is 2, the norm of v is 1 and the dot product of u and v is 4, then the angle between u and v is
Find the vector with initial point P and terminal point Q: P= (2,-3) and Q= (0,5)
Let a be a standard position vector with terminal point (-5,2). Let b be a vector with initial point (-2,4) and terminal point (-4,-2). Find the magnitude of vector 2a+5b+3i+5j.

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7-10 - Terminal Point of a Vector If the vector v has initial point P, what is its terminal point? 7. v = (3, 4, -2), 8. v = (0, 0, 1), P(0, 1, –1) 9. v %3 (-2,0, 2), Р(3,0, -3) P(2, 0, 1) 10. v = (23, -5, 12). P(-6, 4, 2)