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Determine the area of parallelogram whose adjacent sides are the vector `2hati+hatj+3hatk, hati-hatj`

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Determine the area of parallelogram whose adjacent sides are the vector hati+hatj, -hati+2hatj

Determine the area of the parallelogram whose sides are the vectors 2hati + 2hatj and hati -hatk .

Find the area of the parallelogram whose diagonals are vectors 3hati+hatj-2hatk and hati-3hatj+4hatk .

Find the volume of the parallelopiped whose sides are given by the vectors. hati+hatj+hatk, hatk, 3hati-hatj+2hatk.

Obtain the volume of the parallelopiped whose sides are vectors veca=2hati-3hatj+4hatk,vecb= hati+2hatj-hatk,vecc= 3hati-hatj+2hatk . Also find the vector (vecaxxvecb)xxvecc .

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 .

What is the volume of the parallelopiped whose sides are given by the vectors. hati + hatj, hatj+hatk and hatk+hati

Write a vector normal to hati+hatk and hati+hatj .

Write the volume of the parallelopiped whose sides are given by -hatj, hatk,-hati

MODERN PUBLICATION-VECTOR-EXERCISE
  1. Find the area of the parallelogram whose adjacent sides are gives by t...

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  2. If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |ve...

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  3. Determine the area of parallelogram whose adjacent sides are the vecto...

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  4. Prove that (vec a × vec b)^(2) = a^(2)b^(2)-(vec a . vec b)^(2).

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  5. Prove that (vec a × vec b).(vec c × vec d) = [[vec a.vec c,vec a.vec d...

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  6. Find a unit vector in direction of vec a-vec b, when vec a = 4 hat i +...

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  7. If vec a and vec b be perpendicular vectors, then prove that (vec a + ...

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  8. Find the value of lambda so that the three vectors are co-planar. (2,-...

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  9. Determine k such that a vector vec(r) is at right angles to each of th...

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  10. Find the scalar and vector projection of veca on vecb. veca = hati+hat...

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  11. Calculate the area of the triangle ABC (by vector method) where A(1,2,...

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  12. Prove that : |veca + vecb|le|veca|+|vecb|.

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  13. Show that vec a × (vec b+vec c) + vec b × (vec c+vec a) + vec c × (vec...

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  14. If vec(a) and vec(b) are unit vectors, then what is the angle between ...

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  15. Prove by vector method that the diagonals of a parallelogram bisect ea...

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  16. Prove by vector method that in a parallelogram, the line joining a ve...

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  17. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

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  18. Prove the following by vector method. Median to the base of an isoscel...

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  19. Prove the following by vector method. The diagonals of a rhombus are a...

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  20. Prove the following by vector method. An angle inscribed in a semi-cir...

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