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Find the angle between the vectors 2 hat...

Find the angle between the vectors `2 hat i -hat j+ hat k` and `3 hat i +4hat j - hat k`

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Find the angle between the vectors hat i -2 hatj +3 hat k and 3 hat i -2 hat j +hat k .

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Find the angle between the vectors hat i + hat j-hat k and hat i-hat j+hat k .

Find the sine of the angle between the vectors : 2 hat i+ 4 hat j+ 4 hat k and 2 hat i- 7 hat j+ hat k .

Find the angle between the vectors hat i-hat j and hat j-hat k .

Find a vector of magnitude 6 units which is at right angles to both the vectors 2 hat i- hat j +2 hat k and 4 hat i- hat j+3 hat k

Find the sine of the angle between the vectors vec a =3 hat i+hat j+2 hat k and vec b =2hat i-2 hat j+4 hat k .

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k, ...

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  2. Find a unit vector in the direction of vec(PQ) . where P and Q have co...

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  3. Find the angle between the vectors 2 hat i -hat j+ hat k and 3 hat i +...

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  4. Find a vector of magnitude 11 in the direction opposite to that of vec...

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  5. Find the position vector of the point R which divides the line (segme...

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  6. if vec a = 2 hat i - hat j+ hat k, vec b =hat i+ hat j - 2 hat k and ...

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  7. Find the magnitude of a vector, whose components are 3, 4 and -12

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  8. Consider the points P (- 1, 0 2) and Q (3, -2 1), Write down vector v...

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  9. If vec a = 2hat i - hat j+ 3hat k and vec b =4 hat i+ hat j - 3 hat k,...

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  10. For any two vectors vec a and vec b, prove that (vec a* vec b)^ 2 le |...

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  11. If for a vector vec a, vec a*hat i = vec a*hat j= vec a*hat k=0, then ...

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  12. If |vec a|=10, and |vec b|=2 and vec a* vec b =12, find angle between ...

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  13. What is the area of a triangle, two of whose sides are along the vecto...

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  14. If vec a and vec b are the position vectors of A and B respectively, f...

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  15. Evaluate int sin2x dx/(1-sinx)

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  16. Find the sine of the angle between the vectors vec a =3 hat i+hat j+2 ...

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  17. Find a vector of magnitude 6 units which is at right angles to both th...

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  18. A vector vec(r ) is inclined at equal angles to the three axes. If the...

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  19. If vec a = 6hat i - hat j+ 2hat k and vec b =hat i- 3hat j - 2 hat k, ...

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  20. What is the value of [vec a vec b vec c] if vec a, vec b, vec c are no...

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