plzzz give me the answer of the question its urgent
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A = 2 i + 2 j - k
B = 6 i - 3 j +2 k
As A and B are perpendicular to each other ,
R = ( A × B ) / | A × B |
here ,
- R = unit vector
- ( A × B ) = cross product
- | A × B | = magnitude of the cross product
A × B = i. j. k
2. 2. -1
6. -3. 2
A × B
= [ (2×2)-(-3×-1)] i - [(2×2) - ( 6×-1) ] j + [ (-3×2)-(6×2)]k
= [ 4 - 3 ] i - [ 4 + 6 ] j + [ -6 - 12 ] k
= i - 10 j - 18 k
| A × B |
= √ (1)² + (-10)² + (-18)²
= √ 1+100 + 324
= √ 425
=√ 25 × 17
= 5 √17
R = ( A × B ) / | A × B |
R = i - 10 j - 18 k / 5√17
ANSWER :
R = i - 10 j - 18 k / 5√17
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