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Find |vecaxxvecb|, if veca=2hati+hatj+3h...

Find `|vecaxxvecb|`, if `veca=2hati+hatj+3hatkand vecb=3hati+5hatj-2hatk`

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Find |vecaxxvecb| , if veca=2hati-7hatj+7hatk and vecb=3hati-2hatj+2hatk

Find |vecaxxvecb|, if veca=hati-7hatj+7hatkandvecb=3hati-2hatj+2hatk .

Find |vecaxxvecb|,if veca=hati-7hatj+7hatkandvecb=3hati-2hatj+2hatk .

If vecA= 5hati+6hatj+3hatk and vecB=6hati-2hatj-6hatk , then

Find a unit vector parallel to the vector veca+vecb where veca=3hati+2hatj+2hatk and vecb=hati+2hatj-2hatk .

Find the area of the parallelogram whose adjacent sides are given by the vectors veca=hati+2hatj+3hatk and vecb=2hati-5hatj+2hatk

Find a unit vector perpendicular to each of the vectors (veca+vecb)and(veca-vecb) , where veca=hati+hatj+hatk,vecb=hati+2hatj+3hatk .

Given two vectors veca=-hati + 3hatj + hatk and vecb =- 3hati + hatj + hatk find |vec a xx vec b|

Given two vectors veca= -hati +hatj + 2hatk and vecb =- hati - 2 hatj -hatk find |vec a xx vec b|

Find the unit vector which is perpendicular to both veca = 2hati + 3hatj - hatk and vecb = 3hati - hatj + hatk and also find the angle between them.

NCERT BANGLISH-VECTOR ALGEBRA-Miscellaneous Exercise on chapter 10
  1. Find |vecaxxvecb|, if veca=2hati+hatj+3hatkand vecb=3hati+5hatj-2hatk

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  2. Write down a unit vector in XY-plane, making an angle of 30^(@) with t...

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

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

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

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  6. Find the value of x for which x(hati+hatj+hatk) is a unit vector.

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

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  8. If veca=hati+hatj+hatk,vecb=2hatj-hatj+3hatkandvecc=hati-2hatj+hatk, ...

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

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

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  11. The two adjacent sides of a parallelogram are 2hati-4hatj+5kandhati-2h...

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

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  13. Let veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatkandvecc=2hati-hatj+4ha...

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  14. The scalar product of the vector hati+hatj+hatk with a unit vector alo...

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  15. If with reference to the right handed system of mutually perpendicular...

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

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  17. If theta is the angle between two vectors vecaandvecb then veca*vecbge...

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  18. Let vecaandvecb be two unit vectors and theta is the angle between the...

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  19. The value of hati*(hatk xx hatj) + hatj*(hati xx hatk)+hatk*(hatj xx h...

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  20. If theta is the angle between any two vectors vecaandvecb, then |veca*...

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