Question

Let u = - 7i + 7j v = 4i - i and w = - 9i Find 5u - (4v - w)

Answer 1

First, we need to simplify the expression inside the parentheses:

4v - w = 4(4i - i) - (-9i) = 16i - 4i + 9i = 21i

Now, we can substitute the values of u, v, and w into the expression:

5u - (4v - w) = 5(-7i + 7j) - (21i) = -35i + 35j - 21i = -56i + 35j

Therefore, the final result is -56i + 35j.

Answer 2

-60i +39j

Explanation:

You want the value of 5u -(4v -w) given ...

• u = -7i +7j
• v = 4i -j
• w = -9i

Vector addition

These are added the way any polynomials are added. Like terms can be combined.

5u -(4v -w)

= 5(-7i +7j) -(4(4i -j) -(-9i))

= -35i +35j -(16i -4j +9i)

= -35i +35j -25i +4j

= -60i +39j

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Additional comment

We have assumed a typo in the definition of v, that 4i-j was wanted instead of 4i-i.

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