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Question

Which of these are unit vectors


A

^i

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B

^i+^j+^k

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C

(^i2)+(^j2)

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D

(45)^i+(35)^j

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Solution

The correct option is D

(45)^i+(35)^j


Option a has just ^i so it's understood that it has magnitude 1 in x direction.

Option b is ^i+^j+^k. Magnitude is found by x2+y2+z2

So we have magnitude as 12+12+12=3so wrong.

Option c is ^i2+^j2 so ,magnitude is (12)2+(12)2=1so correct

Option d is 45^i+35^j so ,magnitude is (45)2+(35)2=1so correct


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