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Find the volume of the following paralle...

Find the volume of the following parallelo-piped whose the coterminous edges are:`veca=3overset^^i+4overset^^j,vecb=2overset^^i+3overset^^j+4overset^^k,`
`vecc=5overset^^k`

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`=|(3,4,0),(2,3,4),(0,0,5)|`
`5(9-8)=5"unit"^3`
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Find the volume of the following parallelo-piped whose the coterminal edges are: veca=overset^^i-2overset^^j+3overset^^k,vecb=2overset^^i+overset^^j+overset^^k"and" vecc=2overset^^i+overset^^j-overset^^k

Find the volume of a parallelepiped with coterminal edges represented by vectors veca=2overset^^i+3overset^^j+4overset^^k, vecb=3overset^^i-overset^^j+2overset^^k "and" vecc=overset^^i+2overset^^j-overset^^k .

Find the area of the parallelogram whose adjacent are determined by the vectors veca=overset^^i-overset^^j+3overset^^k "and"vecb=2overset^^i-7overset^^j+overset^^k .

Find the angle between the vectors overset^^i-2overset^^j+3overset^^k"and"3overset^^i-2overset^^j+overset^^k.

Compute the magnitude of oversetrarrb=2overset^^i-7overset^^j-3overset^^k ,vector

Find a unit vector along the vector oversetrarrb =3 overset^^i -overset^^j + overset^^k

Are the vectors oversetrarra =2 overset^^i -overset^^j "and"oversetrarrb =overset^^i+2overset^^j equal?

Compute the magnitude of oversetrarra =overset^^i+overset^^j+overset^^k ,vector

Find a vector of magnitude 5 units and parallel to the resultant of the vectors veca=2overset^^i+3overset^^j-overset^^k "and "vecb=overset^^i-2overset^^j+overset^^k .

Show that the vectors 2overset^^i-3overset^^j+4overset^^k"and " -4overset^^i+6overset^^j-8overset^^k are collinear.

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. If veca,vecb,veccare coplanar,prove that veca+vecb,vecb+vecc,vecc+veca...

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  2. Find the volume of the following parallelo-piped whose the coterminal ...

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  3. Find the volume of the following parallelo-piped whose the coterminous...

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  4. Find the value of lambdaif the points. A(-1,4,-3),B(3, lamda,-5),C(-3,...

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  5. Write down a unit vector in XY plane making an angle of 30^@ with the...

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  6. Find the scalar components and magnitude of the vector joining the poi...

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  7. A girl walks 4km towards west, then she walks 3 km in a direction 30^@...

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  8. If veca=vecb+vecc,then is it true that |veca|=|vecb|+|vecc|? Justify y...

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  9. Find the value of x for which x(overset^^i+overset^^j+overset^^k) is a...

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  10. Find a vector of magnitude 5 units and parallel to the resultant of th...

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  11. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7)are collinear and...

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  12. Find the position vector of a point R which divides the line joining t...

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  13. The two adjacent sides of a parallelogram are 2overset^^i-4overset^^j+...

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  14. Show that the direction cosines of a vector equally inclined to the ax...

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  15. Let" "veca=overset^^i+4overset^^j+2overset^^k, vecb=3overset^^i-2overs...

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  16. The scalar product of the vector overset^^i+overset^^j+overset^^k with...

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

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  18. Prove that (veca+vecb).(veca+vecb)=|veca|^2+|b|^2 if and only if veca...

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  19. Choose the correct answer. If theta is the angle between two vectors v...

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  20. Choose the correct answer. Let veca"and"vecb be two unit vectors and t...

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