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State True/False Then magnitude of 2ha...

State True/False
Then magnitude of `2hati-3hatj+6hatk` is 7 units.

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The magnitude of the vector 2hati-6hatj-3hatk is :

The magnitude of the vector 6hati+2hatj+3hatk is :

Find a unit vector normal to the plane : vecr*(2hati-3hatj+6hatk)+14=0 .

True or false The line vecr=2hati-3hatj+hatk+t(hati-hatj+2hatk) lies in the plane vecr.(3hati+hatj-hatk)-2=0 .

Let veca= 2 hati + 3hatj - 6hatk, vecb = 2hati - 3hatj + 6hatk . Find their dot product.

Find the area of parallelogram whose diagnolas are 2hati+3hatj+ 6hatk and 3hati - 6hatj + 2hatk

JMD PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. State True/False The value of veca.veca is |\veca|^2.

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  2. State True/False If veca is unit vector and (2vecx-3veca).(2vecx+3ve...

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  3. State True/False Then magnitude of 2hati-3hatj+6hatk is 7 units.

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  4. Write the value of (hatixxhatj).k+(hatjxxhatk).hati.

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  5. Write the value of p for which veca=3hati+2hatj+9hatk and vecb=hati+ph...

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  6. Prove that : (vecaxxvecb)^2=|\veca|^2.|\vecb|^2-(veca.vecb)^2.

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  7. If veca=4hati+3hatj+hatk and vecb=hati-2hatk, find |\2vecbxxveca|.

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  8. The projection of veca=2hati-hatj+hatk on vecb=hati-2hatj+hatk is equa...

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  9. Find unit vector in the direction of veca+vecb, where veca=-hati+hatj+...

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  10. Find the angle between the vectors veca=hati-hatj+hatk and vecb=hati+h...

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  11. If |\veca|=sqrt3,|\vecb|=2 and angle between veca and vecb is 60^o. Fi...

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  12. If |\veca|=2,|\vecb|=sqrt3 and veca.vecb=sqrt3, find the angle between...

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  13. For what value of lambda are the vectors veca=2hati+lambdahatj+hatk an...

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  14. Find the projection of veca on vecb if veca.vecb=8 and vecb=2hati+6hat...

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  15. The value of : hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) i...

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  16. Let veca and vecb be two vectors such that |\veca|=3 and |\vecb|=frac{...

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  17. What is the cosine of the angle which the vector sqrt(2hati)+hatj+hatk...

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  18. If vecp is a unit vector and (vecx-vecp).(vecx+vecp)=80, then find |\v...

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  19. Write a vector of magnitude 15 units in the direction of vector hati-2...

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  20. If veca and vecb are two vectors such that |\veca.vecb|=|\vecaxxvecb|,...

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