Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as i ,the vector jas i and the vector k as k .Enter vectors usingi, j, k notation. (a) (x, y) = (-5, 8) +t (2, 7) O P( – 5, 8) is on the line and v = 2i+ 7j is parallel to the line. O P(- 5, 2) is on the line and v = 8i+ 7j is parallel to the line. O P(5, 2) is on the line and v = 8i + 7j is parallel to the line. O P(2, 7) is on the line and v = - 5i+ 8j is parallel to the line. O P(5, 8) is on the line and v = 2i+ 7j is parallel to the line. eTextbook and Media (b) xi+ yj + zk = (6i+ 3j – 4k) + 1(5j) O P(6, 3, - 4) is on the line and v = 5j is parallel to the line. O P(6, 3, – 4) is on the line and v = 5i – 4k is parallel to the line. O P(6, 3, - 4) is on the line and v = 5i is parallel to the line. O P(6, 3, – 4) is on the line, and v = 5j – 4k is parallel to the line. O P(6, 3, – 4) is on the line and v = 5k is parallel to the line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
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Find a point P on the line and a vector v parallel to the line by inspection.
Enter the vector i as i ,the vector jas i and the vector k as k .Enter vectors usingi, j, k notation.
(a) (x, y) = (-5, 8) +t (2, 7)
O P( - 5, 8) is on the line and v = 2i+ 7j is parallel to the line.
O P(- 5, 2) is on the line and v = 8i+ 7j is parallel to the line.
O P(5, 2) is on the line and v = 8i + 7j is parallel to the line.
O P(2, 7) is on the line and v = - 5i+ 8j is parallel to the line.
O P(5, 8) is on the line and v = 2i+ 7j is parallel to the line.
eTextbook and Media
(b) xi+ yj + zk = (6i+3j – 4k) + 1(5j)
O P(6, 3, – 4) is on the line and v =
5j is parallel to the line.
O P(6, 3, - 4) is on the line and v = 5i – 4k is parallel to the line.
O P(6, 3, - 4) is on the line and v = 5i is parallel to the line.
O P(6, 3, – 4) is on the line, and v = 5j – 4k is parallel to the line.
O P(6, 3, – 4) is on the line and v = 5k is parallel to the line.
Transcribed Image Text:Find a point P on the line and a vector v parallel to the line by inspection. Enter the vector i as i ,the vector jas i and the vector k as k .Enter vectors usingi, j, k notation. (a) (x, y) = (-5, 8) +t (2, 7) O P( - 5, 8) is on the line and v = 2i+ 7j is parallel to the line. O P(- 5, 2) is on the line and v = 8i+ 7j is parallel to the line. O P(5, 2) is on the line and v = 8i + 7j is parallel to the line. O P(2, 7) is on the line and v = - 5i+ 8j is parallel to the line. O P(5, 8) is on the line and v = 2i+ 7j is parallel to the line. eTextbook and Media (b) xi+ yj + zk = (6i+3j – 4k) + 1(5j) O P(6, 3, – 4) is on the line and v = 5j is parallel to the line. O P(6, 3, - 4) is on the line and v = 5i – 4k is parallel to the line. O P(6, 3, - 4) is on the line and v = 5i is parallel to the line. O P(6, 3, – 4) is on the line, and v = 5j – 4k is parallel to the line. O P(6, 3, – 4) is on the line and v = 5k is parallel to the line.
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