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

Considering the vector C equals negative nine I plus six J determine the following vector negative 21 C where we have four possible answers. Negative 1 26 I 1 89 I minus 1 26 J 1 89 J and negative 1 89 I plus 1 26 J. Now we notice we have what's called a scalar multiple which is a number that multiplies a vector. We have native 21 C. Now the scalar multiple just means we will multiply every term in our vector C by the multiple K which in this case is negative 21. In other words, let's take negative 21 multiply it by our entire vector negative nine I plus six J. Now first multiple negative 21 by negative nine. This gives us positive 1 89. I, we now multiply negative 21 by R six J. Guess what? Give us negative 1 26 J. We don't have anything else to simplify. So our answer to our problem 1 89 I minus 1 26 J corresponds to answer B OK. I hope to help you solve the problem. Thank you for watching. Goodbye.