Question

Find a vector which is parallel to v=i-2;
and has a magnitude 10.​

Answer 1

Answer:

√2( i - 2j ) or √2 i - 2√2 j

Explanation:

TIP:--

In such questions, always calculate unit vector

Here, unit vector v = v / | v |

And , | v | = √ 1^2 + 2^2

| v | = √1 + 4

| v | = √5

So, unit vector v = ( i - 2j )/ √5

So, required vector = given | v | × unit vector

Hence , vector = 10 × ( i - 2j )/√5

vector = √2 ( i -2 ) or √2 i - 2√2 j