Find a point Pon the line and a vector v parallel to the line by inspection. Enter the vector ias i ,the vectorjas j and the vector k as k .Enter vectors using i, j, k notation. (a) (x, y) = (-3, 7) + t (4, 5) O P(4, 5) is on the line and v = - 3i+ 7j is parallel to the line. O P( – 3, 7) is on the line and v = 4i+ 5j is parallel to the line. O P( – 3, 4) is on the line and v = 7i+ 5j is parallel to the line. O P(3, 7) is on the line and v = 4i+ 5j is parallel to the line. O P(3, 4) is on the line and v = 7i+ 5j is parallel to the line. eTextbook and Media (b) xi+ yj + zk = (4i+ 4j – 4k) + t(7j) %3D O P(4, 4, – 4) is on the line, and v = 7j – 4k is parallel to the line. O P(4, 4, – 4) is on the line and v = 7i is parallel to the line. O P(4, 4, – 4) is on the line and v = 7i – 4k is parallel to the line. O P(4, 4, – 4) is on the line and v = 7k is parallel to the line. O P(4, 4, – 4) is on the line and v = 7j is parallel to the line.

Find a point Pon the line and a vector v parallel to the line by inspection. Enter the vector ias i ,the vectorjas j and the vector k as k .Enter vectors using i, j, k notation. (a) (x, y) = (-3, 7) + t (4, 5) O P(4, 5) is on the line and v = - 3i+ 7j is parallel to the line. O P( – 3, 7) is on the line and v = 4i+ 5j is parallel to the line. O P( – 3, 4) is on the line and v = 7i+ 5j is parallel to the line. O P(3, 7) is on the line and v = 4i+ 5j is parallel to the line. O P(3, 4) is on the line and v = 7i+ 5j is parallel to the line. eTextbook and Media (b) xi+ yj + zk = (4i+ 4j – 4k) + t(7j) %3D O P(4, 4, – 4) is on the line, and v = 7j – 4k is parallel to the line. O P(4, 4, – 4) is on the line and v = 7i is parallel to the line. O P(4, 4, – 4) is on the line and v = 7i – 4k is parallel to the line. O P(4, 4, – 4) is on the line and v = 7k is parallel to the line. O P(4, 4, – 4) is on the line and v = 7j is parallel to the line.

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

Section9.6: Equations Of Lines And Planes

Problem 1E

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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)
Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.

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