Unit vector along the vector 4î + 3ĵ is _____

Category: QuestionsUnit vector along the vector 4î + 3ĵ is _____
Editor">Editor Staff asked 1 year ago

Unit vector along the vector 4î + 3ĵ is _____
 
(a) (4î + 3ĵ)/5
 
(b) 4î + 3ĵ
 
(c) (4î + 3ĵ)/6
 
(d) (4î + 3ĵ)/10
 
I had been asked this question during a job interview.
 
This is a very interesting question from Vector Addition topic in portion Motion in a Plane of Physics – Class 11
Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 1 year ago

Right option is (a) (4î + 3ĵ)/5
 
For explanation: Unit vector along 4î + 3ĵ , is obtained by dividing the present vector by its magnitude. The magnitude of the given vector is 5. Hence, the required unit vector is (4î + 3ĵ)/5.