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10 Nov 2019

Find the coordinates of the point dividing the line segment joiningA(2,-4,3) and B(7,1,-2) in the ratio 2:3.

1b) Find the shortest distance between the planes

1c) Determine the value(s) of k so that the vectors u=(2k,-1,7) andv=(k,k,-3) are perpendicular

1d)Find the volume of the parallelepiped determined by thevectors

u = 2i - 3j k,

v = -i 3k and

w = 2i - j - k

(The AND or - signs are not appearing when the question is postedfor
equation u it has 2i,-3j, k
equation v it has -i, 3k
equation w it has 2i, -j,-k)
(the letters also have a little right arrow on each one of them,but I do not know how to put it using my computer)

SHOW ALL YOUR STEPS AND USE BIG CLEAR PRINT
For 1d), I got the Volume= 8, but people gave me answer for volumeas V=10

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Jamar Ferry
Jamar FerryLv2
10 Nov 2019

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