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phospho
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Reading through a book and this question popped up, but the question didn't actually cover parallel vectors so I'm not sure what to make of it:
Given that c = 3i + 4j and d = i -2j find
t if d-tc is parallel to -2i + 3j
I done d - tc and got (1-3t)i + (-2-4t)j but I'm not quite sure how to equate this to the parallel vector -2i + 3j
in the solutions for some reason they have done the coefficient of i in vector -2i + 3j and multiplied it by the coeffecient of j in d-tc and done the same for j, so they have
-2(-2-4t) = 3(1-3t)
but I don't really know how they got that, if anyone could explain thanks.
Given that c = 3i + 4j and d = i -2j find
t if d-tc is parallel to -2i + 3j
I done d - tc and got (1-3t)i + (-2-4t)j but I'm not quite sure how to equate this to the parallel vector -2i + 3j
in the solutions for some reason they have done the coefficient of i in vector -2i + 3j and multiplied it by the coeffecient of j in d-tc and done the same for j, so they have
-2(-2-4t) = 3(1-3t)
but I don't really know how they got that, if anyone could explain thanks.