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If `vec A =3 hat I + 4 hat j ` and `vec B =7hat I + 14 hat j`, find a vector having the some magnitude as `vec A` and parallel to `vec B`. |
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Answer» Here,` | vec A| =sxqart 3^(2) + 4^(2) =5` , `|vec B| =sqrt 7^(2) + 24 ^(2) =25` Unit vector in the direction of `vec B` is `hat B =(vec B)/B = (7 hat I + 24 hat j)/(25) =1/(25) (7 hat i+ 24 hat j)` and pparallel to `vec B` is `=|vec A| hat B = 5 xx 1/(25) (7 hat i + 24 hat j)` `=1/5 (7 hat + 24 hat j)`1. |
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