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The expression (1/(sqrt(2))hat(i)+1/(sqr...

The expression `(1/(sqrt(2))hat(i)+1/(sqrt(2))hat(j))` is a

A

Unit vector

B

Null vector

C

Vector of magnitude `sqrt(2)`

D

Scalar

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The correct Answer is:
A
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What is the interior acute angle of the parallelogram whose sides are represented by the vectors (1)/(sqrt(2))hat(i)+(1)/(sqrt(2))hat(j)+hat(k) and (1)/(sqrt(2))hat(i) - (1)/(sqrt(2))hat(j)+hat(k) ?

What is the interior acute angle of the parallelogram whose sides are represented by the vectors (1)/(sqrt2) hat(i) +(2)/(sqrt2) hat(j) + hat(k) and (1)/(sqrt2) hat(i) - (1)/(sqrt2) hat(j) + hat(k) ?

The vector (1/sqrt2 hat i + 1/sqrt2 hat j) is a unit vector?

A particle is moving in xy -plane in circular path with centre at origin.If at an instant the position of particle is given by (1)/(sqrt(2))(hat i+hat j) .Then velocity of particle is along (A) (1)/(sqrt(2))(hat i-hat j) (B) (1)/(sqrt(2))(hat j-hat i) (C) (1)/(sqrt(2))(hat i+hat j) (D) Either (A) or (B)

Let vec a=2hat i+hat j+hat k,hat b=hat i+2hat j-hat k and a unit vector vec c be coplanar.If vec c is perpendicular to vec a then vec c=+-(1)/(sqrt(2))(-hat j+hat k)( b) (1)/(sqrt(3))(-hat i-hat j-hat k)(1)/(sqrt(5))(hat o-2hat j)(d)(1)/(sqrt(3))(hat i-hat j-hat k)

A non-zero vector vec a is such that its projections along vectors (hat i+hat j)/(sqrt(2)),(-hat i+hat j)/(sqrt(2)) and hat k are equal,then unit vector along vec a is (sqrt(2)hat j-hat k)/(sqrt(3))b(hat j-sqrt(2)hat k)/(sqrt(3)) c.(sqrt(2))/(sqrt(3))hat j+(hat k)/(sqrt(3))d.(hat j-hat k)/(sqrt(2))

Compute the magnitude of the following vectors: quad vec a=hat i+hat j+hat kvdotsvec b=2hat i-7hat j-3hat k;vec c=(1)/(sqrt(3))hat i+(1)/(sqrt(3))hat j-(1)/(sqrt(3))hat k

Angle made by vector sqrt(3)hat(i)+sqrt(2)hat(j)-2hat(k) with -ve y- axis is :

A unit vector perpendicular to both hat i+ hat j\ a n d\ hat j+ hat k is hat i- hat j+ hat k b. hat i+ hat j+ hat k c. 1/(sqrt(3))( hat i+ hat j+ hat k) d. 1/(sqrt(3))( hat i- hat j+ hat k)

ERRORLESS -VECTORS-Exercise
  1. 100 coplanar forces each equal to 10 N act on a body. Each force makes...

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  2. The magnitude of a given vector with end points(4, -4,0) and (-2, -2,0...

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  3. The expression (1/(sqrt(2))hat(i)+1/(sqrt(2))hat(j)) is a

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  4. The angle made by the vector vecA=2hati+3hatj with Y-axis is

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  5. The unit vector along hati+hatj is

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  6. A vector is represented by 3hati+2hatj+2hatk. Its length in XY plane i...

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  7. Five equal forces of 10 N each are applied at one point and all are ly...

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  8. Set the angles made by following vectors with x-axis in the increasing...

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  9. Any vector in an arbitrary direction can always be replaced by two (or...

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  10. Angular moment is

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  11. Which of the following is a vector

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  12. If vecP= vecQ then which of the following is NOT correct?

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  13. The positoin vector of a particle is vecr=(acos omegat)hati+(asinomega...

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  14. Which of the following is a scalar quantity

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  15. If a unit vector is represented by 0.5hati + 0.8hatj + chatk the value...

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  16. A boy walks uniformly along the sides of a rectangular park of size 40...

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  17. The unit vector parallel to the resultant of the vectors vecA=4hati+3h...

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  18. Surface area is

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  19. With respect to a rectangular Cartesian coordinate system, three vecto...

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  20. The angles between the two vectors vecA=3hati+4hatj+5hatk and vecB=3ha...

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