Find vector v where the magnitude of v is 4 and v is paralle

Find vector v where the magnitude of v is 4 and v is parallel to (1, 1).

Solution

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Given a vector (1,2) = i + j

Now a vectr paralell to this vector = k (i + j)   where k is a constant equvalent to magnitude

Now if magnitude is 4 then required vector are

4 (i + j)

4i + 4j Solution