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PRADEEP PUBLICATION-VECTORS-EXERCISE
- Find the equation of a plane through the points (3,-1,2), (1,-1,-3) an...
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- Find a unit vector perpendicular to each of the vectors hat i+2 hat j+...
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- Find the sine of the angle between the vectors : (3,0,3) and (1,2,-7)
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- Find the sine of the angle between the vectors : 2 hat i+ 4 hat j+ 4 ...
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- Determine the area of the parallelogram whose adjacent sides are the ...
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- Find the area of the parallelogram having two adjacent sides OA and OB...
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- Find the area of triangle PQR where P,Q,R have respectively coordinate...
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- Find the area of the triangle formed by O,A,B where : vec OA= hat i+ ...
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- Find the area of the triangle formed by O,A,B where : vec OA= 3 hat i...
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- If vec axx vec b= vec cxxvec d and vec axx vec c= vec bxxvec d, show t...
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- Find the area of the triangle ABC where A,B,C are the points (a,0,0), ...
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- Find the area of the triangle having the points A(1,1,1), B(1,2,3) and...
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- If vec a= 2 hat i+ hat j- hat k, vec b= -hat i+ 2 hat j- 4 hat k and v...
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- Calculate the product ((hat i- 2 hat j+ 3 hat k) cross (2 hat i+ hat j...
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- If vec a= hat i- 2 hat j+ hat k, vec b= 2 hat i - hat j+ hat k and vec...
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- Define the vector product of two vectors vec a and vec b. If vec a = 2...
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- If vec a= 2 hat i+ 5 hat j- 7 hat k, vec b= -3 hat I + 4 hat j+ hat k ...
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- If G is the centroid of triangle ABC, prove that area triangle AGB = ...
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- If D, E, f are the mid-point of the sides of triangle ABC, prove that ...
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- Using vectors prove that sin(alpha - beta)= sin alpha cos beta- cos al...
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