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The unit vector in the direction of 
, where A and B are the points (2, – 3, 7) and (1, 3, – 4) is:
, where A and B are the points (2, – 3, 7) and (1, 3, – 4) is:- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The unit vector in the direction of, where A and B are the points (2, ...
Given, Point A (2,-3,7)
Point B (1,3,-4)
Let vector in the direction of AB be C.
∴ C = B - A
⇒ (1,3,-4) - (2,-3,7)
⇒ ( 1-2 , 3+3 , -4-7 )
⇒ (-1,6,-11)
⇒ -1i + 6j -11k
Magnitude of vector C
|C| = √(-1)2 + 62 + (-11)2
⇒ √1+36+121
⇒ √158
Magnitude of vector C
|C| = √(-1)2 + 62 + (-11)2
⇒ √1+36+121
⇒ √158
Unit vector = (Vector)/(Magnitude of vector)
Unit vector C = (C vector)/(Magnitude of C vector) = (-1i + 6j -11k)/√158
Unit vector C = (C vector)/(Magnitude of C vector) = (-1i + 6j -11k)/√158
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The unit vector in the direction of, where A and B are the points (2, – 3, 7) and (1, 3, – 4) is:a)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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