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Let a = 2hat(i) + hat(j), b = -hat(i) + ...

Let `a = 2hat(i) + hat(j), b = -hat(i) + 3hat(k)` and `c = hat(i) + 2hat(j) + 5hat(k)` be three vectors. Find
`c xx a`

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The correct Answer is:
`-5hat(i) + 10hat(j) - 3hat(k)`
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Show that the points whose position vectors are 5hat(i) + 5 hat(k), 2 hat(i) + hat(j) + 3 hat(k) and -4 hat(i) + 3 hat(j) - hat(k) are collinear.

ARIHANT PUBLICATION-VECTOR ALGEBRA -Odisha Bureau.s Textbook Solutions (Exercise 12(c))
  1. Each question given below have four possible answers, out of which onl...

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  2. Each question given below have four possible answers, out of which onl...

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  3. Let a = 2hat(i) + hat(j), b = -hat(i) + 3hat(k) and c = hat(i) + 2hat(...

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  4. Let a = 2hat(i) + hat(j), b = -hat(i) + 3hat(k) and c = hat(i) + 2hat(...

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  5. Let a = 2hat(i) + hat(j), b = -hat(i) + 3hat(k) and c = hat(i) + 2hat(...

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  6. Let a = 2hat(i) + hat(j), b = -hat(i) + 3hat(k) and c = hat(i) + 2hat(...

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  7. Let a = 2hat(i) + hat(j), b = -hat(i) + 3hat(k) and c = hat(i) + 2hat(...

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  8. Find the unit vectors perpendicular to the vectors. hati, hatk

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  9. Find the unit vector perpendicular to the vectors hat(i) + hat(j), h...

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  10. Find the unit vector perpendicular to the vectors 2hat(i) + 3hat(k),...

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  11. Find the unit vector perpendicular to the vectors 2hat(i) - 3hat(k),...

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  12. Determine the area of parallelogram whose adjacent sides are the vecto...

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  13. Determine the area of parallelogram whose adjacent sides are the vecto...

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  14. Determine the area of parallelogram whose adjacent sides are the vecto...

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  15. Determine the area of parallelogram whose adjacent sides are the vecto...

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  16. Calculate the area of the triangle ABC (by vector method) where A(1,2,...

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  17. Calculate the area of the triangle ABC (by vector method) where A(1,1,...

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  18. Determine the sine of the angle between the vectors 5hati-3hatj, 3hati...

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  19. Determine the sine of the angle between the vectors hat-3hatj+hatk, ha...

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  20. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

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