Efficient way to Calculate the squared distances for a set of vectors to a fixed vector

I am pretty new to R. So this may be an easy question for most of you.
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I would like to calculate the squared distances of a large set (let's say 20000) of vectors (let's say dimension of 5) to a fixed vector.
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Say I have a data frame MY_VECTORS with 20000 rows and 5 columns, and one 5x1 vector y. I would like to efficiently calculate the squared distances?between each of the 20000 vectors in MY_VECTORS and y.
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The squared distance between two vectors x and y can be calculated:
distance <- crossprod(x-y)
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Without looping, what is?the efficient code to achieve this?
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Thanks.