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.
3w + 2v

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 five C plus seven B. And we have four possible answers all vectors. In terms of I and J, let's see if we can solve this issue. We first noticed we have five multiplying vector C. This is what's called a scalar multiple. In this case, it just means that we will multiply our original vector C by five, which means we multiply every term in the vector by five. This means we have five multiplied by negative nine T at negative I five multiplied by six J. To get 30 J. We can do the same for seven B. We multiply every term of B by seven, we have seven multiplied by 12 which is negative to get negative 84 I seven multiplied by negative eight to get negative 56 J. We can now combine these two vectors, we have negative 45 I plus 30 J. Now, since we have a plus between the two vectors, we do not have to change our science. So we just bring down negative 84 I minus J. Now let's go ahead and solve our victory here. We can combine our like terms, which means we can combine our eyes and our Js. We have negative 45 I minus 84. I this gives us negative 1 29. We have 30 J minus 56 J to get negative J. We can't simplify any further. Which seems the answer to our problem is answer D negative of 1 I minus 26 J. Ok. I hope to help you solve the problem. Thank you for watching. Goodbye.

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

Key Concepts

Vector Addition

Scalar Multiplication

Component Form of Vectors

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