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The perpendicular distance of any point ...

The perpendicular distance of any point `vec(a)` on to the line `vec(r )= vec(b) + t vec(c )` is

A

`(|(vec(a)-vec(b))xx vec(c )|)/(|vec(b)|)`

B

`(|(vec(a)-vec(b))xx vec(c)|)/(|vec(c)|)`

C

`(|vec(a)-vec(b)|)/(|vec(c)|)`

D

`(|(vec(a)-vec(b))xx vec(c )|)/(|vec(a)|)`

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The correct Answer is:
B
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AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-II
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  4. vec(OA)= vec(a), vec(OB)= 10vec(a) + 2vec(b), vec(OC)= vec(b) where O,...

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  5. The distance of the point B with P.V. vec(i) + 2vec(j) + 3vec(k) from ...

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  6. If vec(OA)= (1, 2, -5), vec(OB)= (-2, 2,1), vec(OC)= (4, 3, -1) then p...

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  7. The perpendicular distance of any point vec(a) on to the line vec(r )=...

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  9. A Force vec(F)= 2vec(i) - lamda vec(j) + 5vec(k) is applied at the poi...

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  10. Equation of the plane containing the lines vec(r )= vec(i) + 2vec(j) -...

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  11. The vector equation of the line passing through the point vec(i)-2vec(...

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  12. If the position vectors of the vertices of DeltaABC" ""are" " "3hat(i...

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  13. If |vec(a)|=1, |vec(b)|=2 and (vec(a), vec(b))= 120^(@), then {(vec(a)...

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  14. If vec(u)= vec(a)- vec(b), vec(v)= vec(a) + vec(b) and |vec(a)| =|vec(...

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  15. If vec(a) is a unit vector and vec(a) xx vec(i) = vec(j), then vec(a)....

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  16. If vec(a)= 2vec(i) + 3vec(j)- 5vec(k), vec(b)= m vec(i) + n vec(j) + 1...

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  17. If |overline(a)|=3,|overline(b)|=4 and the angle between overline(a) ...

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  19. vec(a) is perpendicular to both vec(b) and vec(c ). The angle between ...

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  20. If |a| = 5, |b| = 6, |a.b| = 24 then |a xx b| =

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