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If vecA=3hat(i)+4hat(j) and vecB=7hat(i)+24hat(j), find a vector having the same magnitude as vecB and parallel to vecA |
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Answer» Solution :The vector parallel to `vecA` and having magnitude of `vecB` is `vecC=|vecB|(vecA)/(|vecA|) = |vecB|HATA ""B=sqrt(7^(2)+24^(2))=25` and `hatA=(vecA)/(A)=(3hat(i)+4hat(j))/(sqrt(3^(2)+4^(2)))=(1)/(5)(3hat(i)+4hat(j))` `vecC=25xx(1)/(5)(3hat(i)+4hat(j)) = 15 hat(i)+20hat(j)` |
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