A vector has magnitude same as that of 
and is parallel to 
. The 
and 
components of this vector in first quadrant are 
and 3 respectively where 
.
Text Solution
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(4)
To find a vector that has the same magnitude as vector 
and is parallel to vector 
, we use the formula:
First, let's find the magnitude of 
, which is 
.
We're given that 
, so to make 
parallel to 
and have it have the same magnitude as 
, they should be the same when 
's magnitude is divided by 5, since 
.
So, 
.
This means the 
component of the vector in the first quadrant is 4, and the 
component is given as 3. So, 
.
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