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RD SHARMA ENGLISH-SCALAR OR DOT PRODUCT-All Questions
- Prove that the altitudes of a triangle are concurrent.
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- Find the components of a unit vector which is perpendicular to the ...
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- If a unit vector vec a makes angle pi//3 with hat i ,pi//4 with hat...
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- If hat aa n d hat b are unit vectors inclined at an angle theta , t...
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- If two vectors vec aa n d vec b are such that |veca|=3, |vecb|=2 and...
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- Find | vec a|a n d| vec b|,if( vec a - vec b)dot ( vec a+ vec b) =27an...
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- If two vectors vec a and vec b are such that | vec a|=2,| vec b|=1...
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- For any two vectors vec a and vec b , prove that: | vec a+ vec b|...
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- Show that the projection vector vec aa n d vec b(!= vec0)(com pon e n...
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- Using dot product of vectors, prove that a parallelogram, whose dia...
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- For any three vectors vec a , vec b , vec c , prove that | vec a+ v...
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- Show that the angle between two diagonals of a cube is cos^(-1)(1/3)do...
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- Find ( vec a+3 vec b).(2 vec a- vec b), If vec a= hat i+ hat j+2 hat ...
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- Find the angle between two vectors vec a\ a n d\ vec b having the...
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- If hat i+ hat j+ hat k ,\ 2 hat i+5 hat j ,\ 3 hat i+2 hat j-3 hat k\...
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- Let vec a\ a n d\ vec b be two vectors of the same magnitude such th...
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- Find | vec x| if for a unit vector vec a ,\ ( vec x- vec a)dot \ ( ve...
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- If vec a=5 hat i- hat j-3 hat k ,\ a n d\ vec b= hat i+3 hat j-5 hat...
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- If vec a+ vec b+ vec c= vec0,\ vec|a|=3,\ | vec b|=5\ a n d\ | vec c...
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- For any vector vec a\ a n d\ vec b prove that | vec a+ vec b|lt=| ve...
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