Find the values of a which the vector v...

Find the values of `a` which the vector ` vec r=(a^2-4) hat i+2 hat j-(a^2-9) hat k` makes acute angle with the coordinate axes.

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RD SHARMA-SCALAR OR DOT PRODUCT-Solved Examples And Exercises

Find the value of lambda so that the vectors vec a=2 hat i+lambda hat...
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Find the value of p for which the vectors vec a=3 hat i+2 hat j+9 ha...
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Find the values of a which the vector vec r=(a^2-4) hat i+2 hat j-(a^...
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If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|...
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If vec a , vec b , vec c are mutually perpendicular unit vectors, fin...
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Find the value of c for which the vectors vec a=(clog2x) hat i-6 hat...
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Let vec a= hat i+4 hat j+2 hat k ,\ \ vec b=3 hat i-\ 2 hat j+7 hat ...
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Dot products of a vector with vectors 3 hat i-5 hat k ,2 hat i+7 hat j...
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Let vec a , vec b , vec c be three vectors such that | vec a|=1,| vec...
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(Cosine Formulae) if a ,b ,c are the lengths of the sides opposite res...
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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 v...
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If a unit vector vec a makes angle pi//4 with hat i ,pi//3 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|=2, |vecb|=3 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 aa n d vec b are such that | vec a|=2,| vec b|=3a ...
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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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