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+1 vote
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in Physics by (25.7k points)
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Find a vector which is parallel to vector v = i - 2j and has a magnitude 10.

1 Answer

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by (25.9k points)
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Best answer

Let the vector be \(\vec{\text{w}} = \text{w}_x\,\hat{i} + \text{w}_y\hat{j}\)

Substituting for wx in (i) using equation (ii),

Using equation (ii),

Required vector is

Alternate method: 

When two vectors are parallel, one vector is scalar multiple of another,

i.e., if \(\vec{v}\) and \(\vec{\text{w}}\) are parallel then, \(\vec{\text{w}}\) = n \(\vec{v}\)where, n is scalar.

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