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A non-zero vecto veca is such tha its pr...

A non-zero vecto `veca` is such tha its projections along vectors `(hati + hatj)/sqrt2, (-hati + hatj)/sqrt2 and hatk` are equal , then unit vector along `veca` us

A

`(sqrt2 hatj -hatk)/(sqrt3) `

B

`(hatj - sqrt2hatk)/(sqrt3)`

C

`(sqrt2)/(sqrt3) hatj + (hatk)/(sqrt3) `

D

`(hatj - hatk)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -2 : CONCEPT APPLICATOR
  1. If vec u ,"" vec v , vec w are noncoplanar vectors and p, q are re...

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  2. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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  3. A non-zero vecto veca is such tha its projections along vectors (hati ...

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  4. veca, vecb ,vec c are three vectors with magnitude |veca| = 4, |vecb|...

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  5. If the two adjacent sides of two rectangles are represented by vect...

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  6. OA, OB, OC are the sides of a rectangular parallelopiped whose diagona...

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  7. If the positive numbers a, b and c are the pth, qth and rth terms of G...

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  8. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

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  9. Let vecOB = hati + 2hatj + 2hatk " and" vecOA = 4hati + 2hatj + 2hatk ...

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  10. If a1 , a2 and a3 are three numbers satisfying a1^2 + a2^2 +a3^2 = 1 ,...

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  11. Let veca , vecb and vec c be non coplanar unit vectors equally incl...

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  12. Let veca , vecb, vec c be three non coplanar vectors , and let vecp ,...

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  13. Let veca= 2hati+hatj -2hatk and vecb=hati+hatj. If vec c is a vecto...

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  14. Let vec r , vec a , vec b and vec c be four non zero vectors such tha...

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  15. Let vec r = (veca xx vecb) sin x + (vecb + vec c) cos y + 2 (vec c xx...

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

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  17. If vec a+vec b+vec c=0, prove that (vec a xx vec b)=(vec b xx vec c)=(...

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  18. If |vec a + vecb| = |vec a - vecb| , then which one of the following i...

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  19. The resultant of forces vecP and vec Q is vecR . If vec Q is doubled t...

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  20. If vec b is a vector whose initial point divides thejoin of 5 hat ...

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