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EleoNora [17]
3 years ago
13

Express the following vector in the form v=v1i+v2j+v3k. 3u - v if u=(4,7,-3) and v=(2,-7,5).3u - v = ____ i + ____ j + _____ k.(

Simplify your answers.)
Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

<h2><em>5i+14j-7k</em></h2>

Step-by-step explanation:

Given the vectors u = (4,7,-3) and v=(2,-7,5), both vectors are 3-dimensional in nature and can also be rewritten as;

u = 4i+7j-3k and v = 2i-7j+5k

To get 3u-v, we will substitute the given vectors into the expression;

3u-v = 3(4i+7j-3k) -  (2i-7j+5k)

open the parenthesis

3u-v = 12i+21j-9k - 2i + 7j - 5k

collect like terms

3u-v = (12i - 2i) + (21j + 7j) (-9k-5k)

3u - v = 10i+28j-14k

To simplify the answer, we will divide through by 2

3u - v = 10i/2+28j/2-14k/2

<em>3u - v = 5i+14j-7k</em>

<em>Hence the simplified form of the expression is 5i+14j-7k</em>

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The approximate volume of the model will be

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<h3 /><h3>What is the approximate volume of the model? </h3>

It is given that

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Step-by-step explanation:

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