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If vecA is …………….to vecB, then vecA.vecB...

If `vecA` is …………….to `vecB`, then `vecA.vecB = 0`

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Perpendicular
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Vectors vecA and vecB satisfying the vector equation vecA+ vecB = veca, vecA xx vecB =vecb and vecA.veca=1 . Vectors and vecb are given vectosrs, are

Vectors vecA and vecB satisfying the vector equation vecA+ vecB = veca, vecA xx vecB =vecb and vecA.veca=1 . Vectors and vecb are given vectosrs, are

If vecb ne 0 , then every vector veca can be written in a unique manner as the sum of a vector veca_(p) parallel to vecb and a vector veca_(q) perpendicular to vecb . If veca is parallel to vecb then veca_(q) =0 and veca_(q)=veca . The vector veca_(p) is called the projection of veca on vecb and is denoted by proj vecb(veca) . Since proj vecb(veca) is parallel to vecb , it is a scalar multiple of the vector in the direction of vecb i.e., proj vecb(veca)=lambdavecUvecb" " (vecUvecb=(vecb)/(|vecb|)) The scalar lambda is called the componennt of veca in the direction of vecb and is denoted by comp vecb(veca) . In fact proj vecb(veca)=(veca.vecUvecb)vecUvecb and comp vecb(veca)=veca.vecUvecb . If veca=-2hatj+hatj+hatk and vecb=4hati-3hatj+hatk and veca=vec_(p)+veca_(q) then veca_(q) is equal to

If |vecA xx vecB| = sqrt3 vecA *vecB , then the value of |vecA + vecB| is :

If vec A . vecB = vecA*vecB , find |vecA - vecB|

If vecb ne 0 , then every vector veca can be written in a unique manner as the sum of a vector veca_(p) parallel to vecb and a vector veca_(q) perpendicular to vecb . If veca is parallel to vecb then veca_(q) =0 and veca_(q)=veca . The vector veca_(p) is called the projection of veca on vecb and is denoted by proj vecb(veca) . Since proj vecb(veca) is parallel to vecb , it is a scalar multiple of the vector in the direction of vecb i.e., proj vecb(veca)=lambdavecUvecb" " (vecUvecb=(vecb)/(|vecb|)) The scalar lambda is called the componennt of veca in the direction of vecb and is denoted by comp vecb(veca) . In fact proj vecb(veca)=(veca.vecUvecb)vecUvecb and comp vecb(veca)=veca.vecUvecb . If veca=-2hatj+hatj+hatk and vecb=4hati-3hatj+hatk then proj vecb(veca) is

If vectors vecA and vecB are such that |vecA+vecB|= |vecA|= |vecB| then |vecA-vecB| may be equated to

MOTION-VECTOR & CALCULUS-EXERCISE -4 (LEVEL - I) PREVIOUS YEAR
  1. Two forces vecF(1) = 2hati + 2hatj N and vecF(2) = 3hati + 4hatkN are ...

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  2. Assertion: A vector qunatity is a quantity that has both magnitude and...

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  3. Statement-1 : If the rectangular components of a force are 8 N and 6 N...

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  4. If three vectors vecA, vecB and vecC satisfy the relation vecA.vecB = ...

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  5. Assertion: The minimum number of vectors of unequal magnitude required...

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  6. Statement-1 : The angle between the two vectors (hatI + hatJ) and (hat...

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  7. Assertion : Distance is a scalar quantity. Reason : Distance is the ...

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  8. State true or false If vecA & vecB are two force vectors vecA. vecB ...

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  9. State true or false If vecA & vecB are two force vectors then vecAxx...

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  10. State true or false If the vector product of two non-zero vectors va...

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  11. State true or false If a function has maximum value at point P theh ...

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  12. The scalar product of vector vecA= 2hati + 5hatk and vecB = 3hatj + 5h...

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  13. If vecA=3hati+4hatj and vecB=7hati+24hatj, find a vector having the sa...

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  14. If vecA||vecB then vecA xx vecB=……….

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  15. The magnitude of area of the parellelogram formed by the adjacent side...

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  16. A force is represented by 2hati + 3hatj + 6hatk. The magnitude of the ...

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  17. The unit vector along vector hati + hatj + hatk is ………..

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  18. If vecA is …………….to vecB, then vecA.vecB = 0

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  19. The angle made by the vector vecA=hati+hatj with x-axis is

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  20. If vecA + vecB + vecC = vec0, then vecA.(vecB xx vecC) = ……….

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