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Find the unit vector in the direction of...

Find the unit vector in the direction of `2hati+3hatj+hatk`.\

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To find the unit vector in the direction of the vector \( \mathbf{A} = 2\hat{i} + 3\hat{j} + \hat{k} \), we will follow these steps: ### Step 1: Identify the vector We have the vector: \[ \mathbf{A} = 2\hat{i} + 3\hat{j} + \hat{k} \] ...
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Find the unit vector in the direction of the vector veca=hati+hatj+2hatk .

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Find the unit vector in the direction of the vector veca = 2hati+2sqrt2hatj-3hatk.

Find a unit vector in the direction of vector: vec=3hati-2hatj+6hatk

Find the unit vector in the direction of vector veca=4hati+3hatj+hatk .

If veca = (-hati + hatj - hatk) and vecb = (2hati- 2hatj + 2hatk) then find the unit vector in the direction of (veca + vecb) .

Find the unit vector in the direction of the sum of the vectors veca=2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .

Find a unit vector in the direction of vector vecA=(hati-2hatj+hatk)

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(i) Find the unit vector in the direction of veca+vecb if veca=2hati-hatj+2hatk , and vecb=-hati+hatj-hatk (ii) Find the direction ratios and direction cosines of the vector veca=5hati+3hatj-4hatk .

MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
  1. Show that the vectors 4hati-hatj+hatk, 3hati-2hatj-hatk and hati+hatj+...

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

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  3. Find the unit vector in the direction of 2hati+3hatj+hatk.\

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  4. Let, veca = hati+2hatj and vecb = 2hati+hatj. If |veca| = |vecb|. Are ...

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  5. Find the values of x & y so that vectors 2hati+3hatj and xhati+Yhatj a...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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