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The scalar product of the vector overset...

The scalar product of the vector `overset^^i+overset^^j+overset^^k` with a unit vector along the sum of the vectors `2overset^^i+4overset^^j-5overset^^k"and" lambdaoverset^^i+2overset^^j+3overset^^k` is equal to I.Find the value of `lambda`.

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

Find aunit vector along the sum of the vectors oversetrarra = overset^^i-3overset^^k "and"oversetrarrb =2overset^^i+5overset^^j-3overset^^k?

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

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

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

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 .

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

Find the sum of the vectors oversetrarra =overset^^i-2overset^^j+overset^^k,oversetrarrb=-2overset^^i+4overset^^j+5overset^^k " and " oversetrarrc=overset^^i-6overset^^j-7overset^^k

Find the projection of the vector oversetrarra =2overset^^i+overset^^j -3 overset^^k on the vector. oversetrarrb =-overset^^i+3overset^^j-overset^^k

Find the unit vector in the direction of the vector oversetrarra=overset^^i+overset^^j+2overset^^k .

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
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  2. If veca=vecb+vecc,then is it true that |veca|=|vecb|+|vecc|? Justify y...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Choose the correct answer.The value of overset^^i.(overset^^jxxoverset...

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  16. If theta is the acute angle between any two vectors " "veca" and "vecb...

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  17. Write all the unit vectors in XY-plane.

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  18. If i+j+k,2i+5j,3i+2j-3k,i-6j-k respectively are the position vector of...

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  19. Let veca,vecb, " and " vecc be three vectors such that |veca|=3,|vecb|...

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  20. Three vectors veca,vecb,"and" vecc satisfy the conditionveca+vecb+vecc...

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