In Exercises 21–38, let
u = 2i - 5j, v = -3i + 7j, and w = -i - 6...

Question

In Exercises 21–38, let
u = 2i - 5j, v = -3i + 7j, and w = -i - 6j.

Find each specified vector or scalar.
3v - 4w

Accepted Answer

Considering the vectors B equals negative 12, I minus eight J and C equals negative nine I plus six J determine the following vector nine B minus 15 C. Where possible answers are four different vectors. In terms of I and J. Now to solve this, we first need to apply the scalar multiples. So you notice we have a number in front of our vectors B and C, those are scalar multiples. So in our case, we have nine B first nine B just means we will multiply every component of our vector B by nine save nine, multiplying our vector negative 12 I minus eight J. This will give us negative one oh eight, I minus 72 J. We can do the same for our seat. We have 15 C which will give us 15 multiplied by negative nine I plus six J. What we did negative 1 hi plus 90 J. Now we can combine our two vectors. We have negative one oh eight, I minus 72 J minus negative 1 35 I plus 90 J. We can now apply our negative, we will get plus 1 35 I N minus 90 J. We can now combine our like terms. If we combine our ice, we have negative one oh eight plus 1 which gives us 27 I, we have negative 72 J minus 90 J which gives us negative 62 J. We can't simplify any farther. Which is our answer. 27 I minus 1 62 J corresponds to answer B OK. I to help you solve the problem. Thank you for watching. Goodbye.

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In Exercises 21–38, let u = 2i - 5j, v = -3i + 7j, and w = -i - 6j. Find each specified vector or scalar. 3v - 4w