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Find the value of x and y. so that the vectors 2j^+3j^ and xi^+yi^ are equal -

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Question

Find the value of `x` and `y`. so that the vectors `2hatj + 3hatj` and `xhati + yhati` are equal

Options

  • `x` = 2, `y` = 4

  • `x` = 3, `y` = 9

  • `x` = 2, `y` = 3

  • `x` = 1, `y` = 1

MCQ

Solution

`x` = 2, `y` = 3

Explanation:

`2hati + 3hatj = xhati + yhatj`

Equating the coefficient of `hati` and `hatj`

`x` = 2, `y` = 3.

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