Respuesta :
The value of the vector (4a + 2b – 9c) as per scaler multiplication of vector method is 8i + 55j.
What is vector?
A vector is a physical quantity that has both magnitude and direction.
What is unit vector?
A vector that has magnitude of 1 is called unit vector.
Given, a = 8i + 2j, b = –3i + j, and c = 2i – 5j.
In order to find the value of the vector (4a + 2b – 9c) in terms of i and j, we need to perform scaler multiplication of vector.
Here, i and j are unit vectors.
Therefore: (4a + 2b – 9c)
= 4(8i + 2j) + 2(–3i + j) - 9(2i – 5j)
= (32i + 8j - 6i + 2j - 18i + 45j)
= (8i + 55j)
Therefore, Option(D) is correct answer.
Learn more about vector here: https://brainly.com/question/25544738
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