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Show that (hati-hatj)/sqrt2 is a unit ve...

Show that `(hati-hatj)/sqrt2` is a unit vector.

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Show that vec a=(hati-hat j)/(sqrt(2)) is a unit vector.

check Wether the vector ((hati)/sqrt (2)+(hatj)/sqrt(2)) is a unit vector or not .

A unit vector hata makes an angle pi/4 with z-axis, if hata+hati+hatj is a unit vector then hata is equal to (A) hati+hatj+hatk/2 (B) hati/2+hatj/2-hatk/sqrt(2) (C) -hati/2-hatj/2+hatk/sqrt(2) (D) hati/2-hatj/2-hatk/sqrt(2)

Given two vectors are hati-hatj and hati+2hatj . The unit vector coplanar with the two vectors nad perpendicular to first is (A) 1/sqrt(2)(hati+hatj) (B) 1/sqrt(5)(2hati+hatj) (C) +-1/sqrt(2)(hati+hatj) (D) none of these

Given, two vectors are hati - hatj and hati + 2hatj , the unit vector coplanar with the two vectors and perpendicular to first is:

If a=2hati+5hatj and b=2hati-hatj , then the unit vector along a+b will be

Determine the angel between the vectors hati+2hatj+hatk and 3hati+hatj-hatk . Also find the unit vector perpendicular to each of the two vectors.

a_(1) hati+a_(2)hatj is a unit vector perpendicular to 4hati - 3 hatj if -

MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
  1. Find the values of x & y so that vectors 2hati+3hatj and xhati+Yhatj a...

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  2. Find the scalar and dot product of vectors hati+2hatj-3hatk and 2hati-...

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  3. Show that (hati-hatj)/sqrt2 is a unit vector.

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  4. Find the direction ratios and direction cosines of the vector veca = h...

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  5. Show that the vectors 2hati-hatj+4hatk and -4hati+6hatj-8hatk are coll...

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  6. Find |vecx|, if for a unit vector veca, (vecx-veca).(vecx+veca) = 12.

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  7. Find |veca-vecb|, if two vectors veca and vecb are such that |veca| = ...

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  8. If = veca = hati-7hatj+7hatk and vecb = 3hati-2hatj+2hatk find vecaxxv...

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  9. Evaluate (3veca-5vecb).(2veca+7vecb)

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  10. Find lambda and mu if (2hati+6hatj+27hatk)xx(hati+lambdahatj+muhatk) =...

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  11. Show that, (veca-vecb)xx(veca+vecb) = 2(vecaxxvecb).

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  12. Find the scalar triple product vectors hati+2hatj+3hatk, hati-hatj+hat...

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  13. Find lambda if the vectors hati+hatj+2hatk, lambdahati-hatj+hatk and 3...

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  14. Show that the points A(-2, 3, 5), B(1, 2, 3) and C(7, 0, -1) are colli...

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  15. Show that the points with position vectors hati+2hatj+7hatk, 2hati+6ha...

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  16. Find the angle between the vectors hati-2hatj+3hatk and 3hati-2hatj+ha...

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  17. Show that the vectors 1/7(2hati+3hatj+6hatk), 1/7 (3hati-6hatj+2hatk) ...

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  18. If veca = 5hati-hatj-3hatk, vecb = hati+3hatj-5hatk then show that the...

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  19. If veca = 2hati+2hatj+3hatk, vecb = -hati+2hatj+hatk and vecc = 3hati...

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  20. Find x,y,z if hati+hatj+2hatk, -hati+zhatk and 2hati+xhatj+yhatk are m...

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