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oversetrarr a"and"oversetrarr(-a) are co...

`oversetrarr a"and"oversetrarr(-a)` are collinear (true or false)

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Two vectors having same magnitude are collinear. ( true or false)

Given that A,B,C are the points (2,1,-1),(3,2,-1)and(3,1,0). Find oversetrarr(AB)" and " oversetrarr(AC) .Hence, find the angle between oversetrarr(AB) " and " oversetrarr(AC).

In triangle ABC, which of the following is not true. a) oversetrarr(AB)+oversetrarr(BC) + oversetrarr(CA) =oversetrarr0 b) oversetrarr(AB) +oversetrarr(BC) - oversetrarr(AC) =oversetrarr0 c) oversetrarr(AB) + oversetrarr(BC) -oversetrarr(CA) = oversetrarr0 d) oversetrarr(AB) - oversetrarr(CB) +oversetrarr(CA) =oversetrarr0

If either vecotor oversetrarra=oversetrarr0 " or " oversetrarrb=oversetrarr0, "then "oversetrarra.oversetrarrb=0. But the converse need not be true. Justify your answer with an example.

Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=oversetrarr0 .What can you conclude about the vectors oversetrarra" and "oversetrarrb.

Consider the points A(1,2,-1),B(2,5,1)andC(0,-1,-3): Find oversetrarr(AB)xxoversetrarr(AC) . Hence, prove that A,B,C are collinear

Two collinear vectors having the same magnitude are equal ( true or false)

Two collinear vectors are always equal in magnitude. ( true or false)

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. In the following figure, identify equal vector

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  2. In the following figure, identify collinear but not equal vector

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  3. oversetrarr a"and"oversetrarr(-a) are collinear (true or false)

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  4. Two collinear vectors are always equal in magnitude. ( true or false)

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  5. Two vectors having same magnitude are collinear. ( true or false)

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  6. Two collinear vectors having the same magnitude are equal ( true or fa...

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  7. Ifoversetrarra +5 oversetrarrb=oversetrarrc"and"oversetrarra-7oversetr...

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  8. Suppose ABC is a triangle and D and E are the mid points of AB and AC...

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  9. Suppose a and b represent in magnitude and direction the two sides AB ...

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  10. Suppose a and b represent in magnitude and direction the two sides AB ...

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  11. Find the values of x,y and z so that oversetrarra =x overset^^I +y ove...

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  12. Are the vectors oversetrarra =2 overset^^i -overset^^j "and"oversetrar...

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  13. Find a unit vector along the vector oversetrarrb =3 overset^^i -overse...

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  14. Find a vector along oversetrarra = 2 overset^^i-overset^^j + 3overset^...

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  15. Find aunit vector along the sum of the vectors oversetrarra = overset^...

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  16. Write the direction ratios and direction cosines of the vector overset...

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  17. The position vectors of the points A,B,C are given to be overset^^i+2o...

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  18. The position vectors of the points A,B,C are given to be 2overset^^i+o...

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  19. Consider the points A,B,C,D with position vectorsoverset^^i+2overset^^...

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  20. Consider the points A,B,C,D with position vectorsoverset^^i+2overset^^...

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