A vector v has initial point (3,7) and terminal point (3, -2). Find its componen

Question

A vector v has initial point (3,7) and terminal point (3, -2). Find its component A vector has initial point (1,8) and terminal point (3, -7). Find its magnitude. A vector v has magnitude 8 and direction 0 = 120degree. Find its component form. Find a unit vector in the direction of v = 3i - 2j. Given u = 3i + 2j,w = i- j, and v = 3u - 2w, find the component form of v. Find the distance between the points (2, 1,0) and (-1,2,4). Find the standard equation for the sphere that has points (4, -3, 5) and

Explanation / Answer

1) component of v is (0, -9)
correct option is C
2) magnitude=sqrt{(3-1)2 +(-7-8)2 } =sqrt229
correct option is A
3)magnitude=8
component are 8 cos(120) , 8 sin(120)
                   =(-4, 4sqrt 3)
correct option is D
4.) v=3i-2j
unit vector is (3 sqrt(13)/13, -2 sqrt(13)/13)
correct option is C
5.) v=3u - 2w
     v=(9i+6j)-(2i-2j)=7i+8j
correct option is B
6)distance=sqrt{9+1+16)=sqrt 26
correct option is D

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