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What is the area of a triangle, two of w...

What is the area of a triangle, two of whose sides are along the vectors `hat i and hat j`.

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Determine the area of the parallelogram whose adjacent sides are the vectors hat i- 3 hat j+ hat k and hat i+ hat j+ hat k .

Find the area of the triangle whose adjacent sides are determined by the vectors vec(a)=(-2 hat(i)-5 hat(k)) and vec(b)= ( hat(i)- 2 hat(j) - hat(k)) .

Find the area of parallelogram whose adjacent sides are represented by the vectors 3hat(i)+hat(j)-2hat(k) and hat(i)-2hat(j)-hat(k) .

Determine the area of the parallelogram whose adjacent sides are 2 hat i and 3 hat j .

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

Find the unit vector in the direction of diagonal of the parallelogram whose sides are given by the vectors vec a= 2 hat i- hat j-3hat k', vec b=5 hat i+2hat j- hatk

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

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 .

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

Find the projection of the vector hat i - hat j on the vector hat i + hat j

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If for a vector vec a, vec a*hat i = vec a*hat j= vec a*hat k=0, then ...

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

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

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

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

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

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

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

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

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

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  11. If a and b are two unit vectors such that a+2b and 5a−4b are perpendic...

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  12. If vec a = 7 hat i +hat j - 4 hat kand vec b=2 hat i+6 hat j +3 hat k,...

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  13. What is the value of |hat a+ hat b + hat c| if hat a, hat b and hat c ...

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

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  15. Find λ and μ if (hat i+3 hat j+9 hat k) xx (3 hat i-λ hat j+μ hat k) =...

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

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  17. Classify the following measures as scalars and vectors, 10 g

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  18. Classify the following measures as scalars and vectors : 2 meters nort...

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  19. Classify the following measure as scalar and vector:40watt

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  20. Classify the following measures as scalars and vectors : 40 watt.

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