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Find the sum of vectors vec a= 2 hati -h...

Find the sum of vectors `vec a= 2 hati -hat j +hat k` and `vec b = 2 hat j+ hat k`.

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Find a unit vector in the direction of the sum of the vectors: vec a= 2 hat i+ 2 hat j+ 5 hat k and vec b= 2 hat i+ hat j- 3 hat k .

Find a unit vector in the direction of the sum of the vectors: vec a= - hat i+ hat j+ hat k and vec b= 2 hat i+ hat j- 3 hat k .

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a = hat i - hat j+ 3 hat k and vec b = 2hat i - 7hat j+ hat k

The value of λ for which the vectors vec a= 2 hat i+λ hat j+hat k and vec b = hat i+2 hat j+ 3 hat k are orthogonal is

Find a unit vector parallel to the sum of the vector vec a= hat i+ hat j+ hat k , vec b= 3 hat i+ hat j- 4 hat k and vec c=-2 hat i- hat j-hat k .

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors vec a =2 hat i+3 hat j- hat k and vec b= hat i-2 hat j+hat k .

Find all vectors of magnitude 10 sqrt 3 that are perpendicular to the plane of vectors vec a=hat i+2 hat j+hat k and vec b=-hat i+3 hat j+4 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 .

Find the values of x,y and z so that the vectors vec a= x hat i + 2 hat j + z hat k and vec b = 2 hat I + y hat j+ hat k are equal.

Find the area of the parallelogram whose adjacent sides are given by vectors vec a= 3 hat i+ hat j+ 4 hat k and vec b= hat i- hat j+ hat k .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. What is the angle between two unlike parallel vectors ?

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  2. If vectors vec a and vec b, are such that |vec a| =3,|vec b| =2/3 and ...

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  3. Find the sum of vectors vec a= 2 hati -hat j +hat k and vec b = 2 hat ...

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

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  5. If vec a = hat i + hat j+ 2hat k and vec b =2 hat i+ hat j - 2 hat k, ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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