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Volume of the parallelepiped

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Calculate the given quantities if a = <1,1,-2>, b= <3,-2,1>, and c=<1,1,-5>.

a) 2a + 3b

b) |b|

c) Unit vector in the direction of b.

d) a (dot) b

e) a x b

f) comp a/b

g) proj a/b

h) Volume of the parallelepiped determined by a , b , and c.

i) Determine whether a and b are parallel, perpendicular or neither.

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Solution Summary

Volume of the parallelepiped is attained.

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