Find the vector v with the given magnitude and the

inlays85k5

inlays85k5

Answered question

2021-11-13

Find the vector v that has the same direction as u and the given magnitude. Magnitude ||v|| = 10 Direction u = ⟨-3. 4⟩

Answer & Explanation

Wriedge

Wriedge

Beginner2021-11-14Added 12 answers

The vector v has the same direction as u. Thus, we can express v using u
v=αu=α<3,4<3α,4α>
for some α>0
Now using the given magnitude, we can find the value of α.
||v||=10
(3α)2+(4α)2=10
9α2+16α2=100
25α2=100
α=2
Now we can easily find vector v usingα.
v=<(3)2,42<6,8>
Result:
v=<6,8>

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