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Let vec(u) = hat(i) + hat(j), vec(v) = h...

Let `vec(u) = hat(i) + hat(j), vec(v) = hat(i) - hat(j)` and `vec(w) = hat(i) + 2hat(j) + 3hat(k)` . If `hat(n)` is a unit vector such that `vec(u).vec(n)` = 0 and `vec(v).hat(n) = 0` then `|vec(w).hat(n)|` is equal to.

A

0

B

1

C

2

D

3

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The correct Answer is:
D
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If vec a is a vector of magnitude 50 and parallel to vec b= 6 vec i - ...

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  2. Let A,B and C be the unit vectors . Suppose that A.B=A.C =0 and the a...

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  3. Let vec(u) = hat(i) + hat(j), vec(v) = hat(i) - hat(j) and vec(w) = h...

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  4. A unit vector perpendicular to the vector -bar(i)+2bar(j)+2bar(k) and...

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  5. The vectors a, b and c are of the same length and taken pairwise, they...

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  6. The vector a, b, c are equal in length and taken pairwise they mak equ...

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  7. The vector r satisfying the conditions that I. it is perrpendicular ...

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  8. The values of lambda for which the angle between the vectors a= lambd...

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  9. If a and b are two unit vectors inclined at an angle 2theta to each ot...

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  10. The vectors (2hati - mhatj+ 3mk) and {(1 + m) hati -2m hatj + hatk} i...

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  11. If the vectors a = (2, log(3)x,lambda) and b = (-3,lambdalog(3) x, log...

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  12. The set of values of lambda for which the vectors vec a=(lambda(log)2...

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  13. The values of x for which the angle between the vectors veca =xhati -...

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  14. The vectors a = 2lambda^(2) i+4lambdaj+k and b=7i-2j+lambdak make an o...

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  15. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

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

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  17. For any vector veca |veca xx hati|^(2) + |veca xx hatj|^(2) + |vec...

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  18. If |a| = |b|, then (a +b). (a-b) is

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  19. A vector a has components 2p and 1 with respect to a rectangular cart...

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  20. Let a =i+j+pk and b=i+j+k, |a+b| =|a| +|b| , holds for

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