Question
Asked Sep 21, 2019
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Find two vectors parallel to v of the given length.
v PQ with P(1,7,1) and Q(0,2,5); length 84
The vector in the direction of v is
(Type exact answers, using radicals as needed.)
The vector in the opposite direction of v is
(Type exact answers, using radicals as needed.)
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Find two vectors parallel to v of the given length. v PQ with P(1,7,1) and Q(0,2,5); length 84 The vector in the direction of v is (Type exact answers, using radicals as needed.) The vector in the opposite direction of v is (Type exact answers, using radicals as needed.)

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Expert Answer

Step 1

firstly, we find vector v , that is vector PQ, which is equal to (position vector of Q)-(position vector of P)

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T(07+2j+5)177+1)

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Step 2

We know that any vector parallel to a given vector is m times that vector , where m is any scalar. 

Let vector a is parallel to vector v

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m= m(-17-5j+ 4) a mi 5mj4mk

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Step 3

Since length of vector a is 84 , th...

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la84 V42m284 42m2 7056 m2 168 m t2/42

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Tagged in

Math

Calculus