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Find the area of the triangle formed by ...

Find the area of the triangle formed by the points A(1,1,1),B(1,2,3) and C(2,3,1) with reference to a rectangular system of axes.

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The correct Answer is:
`1/2sqrt(21)` sq. units
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ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. If veca=2hati-3hatj+4hatk and vecb=5hati+hatj-hatk represents sides of...

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  2. Find the value of a+b, if the points (2,a,3),(3,-5,b) and (-1,11,9) ar...

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  3. Find the area of the triangle formed by the points A(1,1,1),B(1,2,3) a...

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  4. Find the area of triangle with vertices (1,1,2),(2,3,5),(1,5,5).

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  5. Using vectors find the area of the triangle ABC with vertices A(1,0,3)...

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  6. Find the area of the triangle fonned by the points A (1,2,4), B(3,1,-2...

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  7. Using vectors, find the area of the triangle having vertices A (2, 5, ...

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  8. Using vectors, find the area of the triangle having vertices A (3, 2, ...

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  9. Using vectors find the area of the triangle whose vertices arc (0, 1 ,...

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  10. Using vectors, find the area of triangle whose vertices are (2,1,1),(2...

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  11. If veca+vecb+vecc=vec0 show that vecaxxvecb=vecbxxvecc=veccxxveca. Int...

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  12. If A, B and C are the vertices of a triangle ABC, prove sine formula t...

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  13. In a triangle OAC, if B is the mid point of side AC and vec(OA)=veca,v...

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  14. Find a unit vector parallel to the sum of the vectors hati+hatj+hatk a...

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  15. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  16. If the sum of two unit vectors is a unit vector, show that the magnitu...

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  17. Show that the points (-2,3,5), (1,2,3) and (7,0,-1) are collinear.

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  18. If a unit vector veca, makes angles pi/3with hati, pi/4wih hatj and...

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  19. Find a vector of magnitude 5sqrt(2) units which makes an angle of (pi)...

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  20. Write the value of the cosine of the angle which the vector veca=hati+...

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