Given vector U = 2i + 3j and vector W = 5j, what is 3U + W?Group of answer choices11i - 9j6i + 14j11i + 9j6i - 14j
Question
Given vector U = 2i + 3j and vector W = 5j, what is 3U + W?Group of answer choices11i - 9j6i + 14j11i + 9j6i - 14j
Solution
To solve this problem, we first need to understand what each vector represents.
Vector U = 2i + 3j represents a vector with 2 units in the i direction and 3 units in the j direction.
Vector W = 5j represents a vector with 0 units in the i direction and 5 units in the j direction.
The problem asks us to find 3U + W.
First, we find 3U by multiplying each component of U by 3:
3U = 3*(2i + 3j) = 6i + 9j
Then, we add W to 3U:
3U + W = (6i + 9j) + (5j) = 6i + 14j
So, the answer is 6i + 14j.
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