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)
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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