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Let, veca = hati+2hatj and vecb = 2hati+...

Let, veca = hati+2hatj` and `vecb = 2hati+hatj`. If `|veca| = |vecb|`. Are the vectors `veca&vecb` equal?

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Given , `veca = hati+2hatj` and `vecb = 2hati+hatj`. Here `|veca| = sqrt(1^2+2^2) = sqrt5` and `|vecb| = sqrt(2^2+1^2) = sqrt5`.
Therefore, `|veca| = |vecb|. But vectors are not equal since the corresponding components are distinct i.e, direction are different.
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MAHAVEER PUBLICATION-VECTOR-QUESTION BANK
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  2. Find the unit vector in the direction of 2hati+3hatj+hatk.\

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

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

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

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

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

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

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

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

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

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

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