Respuesta :

a=(1,2) and b=(2, - 1) . Find 4a - 3b

1st carry out the scalar multiplication 4a and -3b

4a =[4(1) , 4(2) ] = (4 , 8)

-3b = [-3(2) . -3(-1)] = (-6 , +3)

4a - 3b =  [(4-6) , (8+3)] = (-2 , 11)

The value of (4a - 3b) in the given question using scaler multiplication of vector is (-2, 11).

What is a vector?

A vector is a mathematical identity that has both magnitude and direction. With the help of a vector, we can represent a physical quantity.

What is the scaler multiplication of vector?

The scaler multiplication of vector is multiplying a vector quantity by a scaler quantity. Obviously, the result will be a vector.

Given, two vectors a = (1, 2) and b = (2, -1).

Therefore, to find 4a - 3b, we need to perform the scaler multiplication of vector.

Therefore, 4a = 4 (1, 2) = (4, 8).

3b = 3 (2, -1) = (6, -3).

Now, (4a - 3b) = [(4 - 6), (8 + 3)] = (-2, 11).

Hence, (4a - 3b) = (-2, 11).

Learn more about the scaler multiplication of vector here: https://brainly.com/question/25942218

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