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ABCD is a tetrahedron with pv's of its a...

`ABCD` is a tetrahedron with pv's of its angular point as `A(-5, 22, 5); B(1, 2, 3); C(4, 3, 2) and D(-1, 2, -3).` If the area of the triangle `AEF` where the quadrilaterals `ABDE and ABCF` are parallelograms is `sqrtS` then find the values of S.

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MOTION-VECTOR -EXERCISE - 3
  1. The position vectors of the angular points of a tetrahedron are A(3 ha...

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  2. Show that the four points with position vectors4 hat i+8 hat j+12 hat ...

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  3. Examine for coplanarity of the following sets of points 3vec(a) + 2...

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  4. The length of the edge of the regular tetrahedron DABC is 'a'. Point E...

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  5. The position vectors of the four angular points of a tetrahedron ar...

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  6. The position vectors of the four angular points of a tetrahedron ar...

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  7. The position vectors of the four angular points of a tetrahedron ar...

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  8. The position vectors of the four angular points of a tetrahedron ar...

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  9. ABCD is a tetrahedron with pv's of its angular point as A(-5, 22, 5); ...

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  10. Let vec(a) = hat(i) + 2hat(j) + 3hat(k) , vec(b) = 2hat(i) + hat(j) ...

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  11. Let vec(a) = hat(i) + 2hat(j) + 3hat(k) , vec(b) = 2hat(i) + hat(j) ...

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  12. Are the following set of vectors linearly independent? vec(a) = h...

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  13. Are the following set of vectors linearly independent? vec(a) = - 2...

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  14. the resultant of two vectors vec(a) & vec(b) is perpendicular to ve...

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  15. Given three points on the xy plane on O(0, 0), A(1, 0) and B(–1, 0). P...

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  16. Vector vec O A= hat i+2 hat j+2 hat k turns through a right angle ...

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  17. If p vec x +( vec x xx vec a )= vec b ;(p!=0) prove that & vecx...

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  18. Given two orthogonal vectors vec(A) and vec(B) each of length unity ...

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  19. Given two orthogonal vectors vec(A) and vec(B) each of length unity ...

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  20. Which of the following statements is false ?

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