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Statement-I: The perpendicular distance ...

Statement-I: The perpendicular distance from `A(1, 4, -2)` to the line `vec(BC)`, where `B(2, 1, -2) and C(0, -5, 1) " is" 3(sqrt26)/(7)` units
Statement-II: If `vec(a)` is any vector then `(vec(a) xx vec(i))^(2) + (vec(a) xx vec(j))^(2) + (vec(a) xx vec(k))^(2) = |vec(a)|^(2)`, then Which of above statements are true?

A

only I is true

B

only II is true

C

Both I and II are true

D

neither I nor II is true

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The correct Answer is:
D
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AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-II
  1. The vector area of the parallelogram whose adjacent sides vec(i) + vec...

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  2. Arrange the following in ascending order of magnitude (A) Area of pa...

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  3. If ABCD is a quadrillateral such that vec(AB) = vec(i) + 2vec(j), vec(...

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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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  8. Statement-I: The perpendicular distance from A(1, 4, -2) to the line v...

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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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  18. Let a.b and c be non-zero vectors such that (a xx b) xx c = (1)/(3) |b...

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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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