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What is the area of a triangle formed wi...

What is the area of a triangle formed with two vectors as its two sides ?

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Show that area of a parallelogram formed , with two vectors as its adjacent sides , is equal to the magnitude of their cross product.

Prove that the area of any triangle is equal to four times the area of the triangle formed by joining the mid points of its sides.

Prove that magnitude of cross product of two vectors is equal to the area of the parallelogram with those two sides as vectors.

What is the area of the parallelogram whose sides are vectors 2overset^i+overset^j and 2overset^j+overset^k ?

Show that the vector area of the triangle whose vertices have position vectors vec(a),vec(b),vec(c ) , is 1/2(vec(a)xxvec(b)+vec(b)xxvec(c )+vec(c )xxvec(a)) .

Find the area of the parallelogram formed by the vectors vecP=3hati-4hatj+2hatk and Q= hati+hatj-2hatk as adjacent sides hence find the area of triangle formed by vecP and vecQ .

The sides of an equilateral triangle are increasing at the rate of sqrt 3 cm/sec. find the rate at which the area of the triangle is increasing when the side is 4 cm long.

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MBD PUBLICATION-VECTOR ANALYSIS-QUESTION BANK
  1. Express the angles between two vector in terms of their rectangular co...

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  2. Show that area of a parallelogram formed , with two vectors as its adj...

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  3. What is the area of a triangle formed with two vectors as its two side...

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  4. Two forces each of magnitude 5N are inclined to each other at 60^@ . F...

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  5. What is the minimum number of vectors to give zero resultant.

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  6. The angle between the two vectors when there sum is equal to their dif...

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  7. When vecA+ vecB=vecA-vecB, then vecB is a

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  8. The minimum number of unequal vectors which can give zero resultant is

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  9. When vecAcdotvecB=-vecAvecB, the two vectors are

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  10. If vecA xx vecB=vecC then

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  11. Unit vector (vecA xx vecB)/(abs (vecA xx vecB)) is perpendicular to

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  12. The scalar product of two vector a = 3vechati-4vechatj+vechatk and ve...

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  13. When two forces 5 kg wt and 10 kg wt act with inclination of 120^@ bet...

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  14. To a man going east in a car with velocity of 40 km/h., a train appear...

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  15. A boat which has a speed of 5 km/hr in still water crosses a river of ...

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  16. A particle A is moving along a straight line with velocity 3 m/s and a...

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  17. Volume is

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  18. Which is vector quantity

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  19. Which is only vector quantity out of the following

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  20. If vecA and vecB are two vectors then the correct statement is

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