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If a, b, c are three unit vectors and angle between a and b between b and c and between c and a is all equal to 60∘, then find ∣∣∣a→+2b→−3c→∣∣∣.

If a, b, c are three unit vectors and angle between a and b between b and c and between c and a is all equal to 60∘, then find ∣∣∣a→+2b→−3c→∣∣∣.

Grade:12th pass

3 Answers

Arun
25750 Points
5 years ago
Dear Aditya
 
I am not using vector sign. It is understood
 
Let
 
Z = |a + b +c|
On squaring both the side or dot product of self
 
Z² = a² + b² + c² + 2 a. b + 2 b. c + 2 c. a
 
Z² = 1 +1 +1 + 2 |a| |b| cos 60° + 2 |b| |c| cos 60° + 2 |c| |a| cos 60°
 
 Z² = 3 + 1 + 1 + 1 = 6
 
Hence 
Z = sqrt(6)
Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
562-2145_Capture.PNG
Arun
25750 Points
5 years ago
Sorry,
 
I have taken a + b+ c while this is a + 2b +3c...
Sorry for that
But procedure will be same
 
Hope it helps

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