Answered: Q1. If O (0,0,0) in (x,y,z) 3-D space… | bartleby

Elementary Geometry For College Students, 7e

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Q1.
If O (0,0,0) in (x,y,z) 3-D space and r(2,5,1) draw the vector in
3D and find its direction.

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The line I=1+t y-2+b-t 2=3+ct lies in the plane 7z +y-z 6 and is perpendicular to the vector i+k. Findb+c.
Q3) Find the vector ž, which is perpendicular to vectors å = (2,3, –1) and 5 = (1,–2,3) and satisfies the relation ž. (2ï – j + R) = -6. А) (2, -6, —3) B) (-1,2,0) C) (-3,3,3) D) (2, –2, – 1) E) (1,–1,–1)
2. Find the equation of the plane that is parallel to the vectors and contains the points (-2, 3, -1) and (2, 0, 1).
(13.) Determine whether the vectors span the vector space. (a.) Let u = 2-5t+6t²-t³,v=3+2t-4t² (b.) Let vectors of P3(t). 1 2i -=(²²). -- (28) V= 5 i U= vectors of M2x2(C) over R. (c.) Let u = (2,0), v = (i, 1), w = (0, 2i), y = (1, 1) be the vectors of C² over R.
If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from a point P to the line L is equal to the length of the component of the vector AP that is orthogonal to the vector AB. L A Use the method above to find the distance from the point P(-3, 1,5) to the line through A(1,1,0) and B(-2,3, –4). NOTE: Enter the exact answer. Distance
Find a vector parametrization for the line that passes through the points P(3, —7, 1) and Q(-5, 9, 2)
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Pls help ASAP

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