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The two adjacent sides of a parallelogra...

The two adjacent sides of a parallelogram are `2 hat i-4 hat j+5 hat k` and ` hat i-2 hat j-3 hat k` . Find the unit vector parallel to one of its diagonals. Also, find its area.

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Let, `veca` and `vecb` are two adjacent sides of a parallelogram.
`veca =2 hat i + 4 hat j -5 hat k`
`vecb= hat i +2 hatj + 3 hat k`
Let the diagonal be `vecc` ...
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NCERT ENGLISH-VECTOR ALGEBRA-MISCELLANEOUS EXERCISE
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  8. Let vec a= hat i+4 hat j+2 hat k , vec b=3 hat i-2 hat j+7 hat k and...

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  9. The scalar product of the vector hat i+ hat j+ hat kwith a unit vect...

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  10. If theta is the angle between two vectors veca and vecb, then veca...

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  11. Let veca and vecb be two unit vectors and is the angle between th...

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  12. If -> a , -> b , -> care mutually perpendicular vectors of equal ma...

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  13. Prove that (veca+ vecb)*( veca+ vecb)=|veca|^2+| vecb|^2, if and only ...

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  14. The value of hat i *( hat jxx hat k)+ hat j*( hat ixx hat k)+ hat k*...

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  15. यदि veca= vecb + vecc, तब क्या यह सत्य है कि | |veca| = |vecb| +|vecc|...

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  16. Find the position vector of a point R which divides the line joinin...

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  17. If veca= hat i+ hat j+ hat k, vecb=2 hat i- hat j+3 hat k and vecc...

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