Motion in a Plane - Result Question 15

17. If a unit vector is represented by 0.5i^+0.8j^+ck^, the value of c is

[1999]

(a) 1

(b) 0.11

(c) 0.01

(d) 0.39

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Answer:

Correct Answer: 17. (b)

Solution:

  1. (b) r^=0.5i^+0.8j^+ck^

|r^|=1=(0.5)2+(0.8)2+c2

(0.5)2+(0.8)2+c2=1

c2=0.11c=0.11

Unit vector is a vector which has a magnitude of one. It is a vector divided by its magnitude. Unit vector for

A is A^:A^=AA

Unit vector gives direction.



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