Let a,b and c be distinct non-negative n...

Let a,b and c be distinct non-negative numbers. If the vectors `ahati + ahatj + chatk, hati +hatk` and `chati+chatj+chatk` lie in a plane,then c is:

the AM of a and b

the GM of a and b

the HM of a and b

equal to zero

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OBJECTIVE RD SHARMA ENGLISH-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise

If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vec...
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If veca,vecb and vecc are non coplanar and unit vectors such that veca...
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Let a,b and c be distinct non-negative numbers. If the vectors ahati +...
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Let veca , vecb and vecc be vectors forming right- hand triad . Let ve...
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vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,vecanevec0,vecbnevec0,veca...
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The vector veca coplanar with the vectors hati and hatj perendicular t...
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If the vectors veca and vecb are mutually perpendicular, then veca xx ...
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If veca, vecb, vecc are non-coplanar non-zero vectors, then (vecaxxv...
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Let veca=hati-hatj, vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit ...
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If the vectors (sec^(2)A)hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,hati...
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x and y are two mutually perpendicular unit vector, if the vectors aha...
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The three concurrent edges of a parallelopiped represent the vectors ...
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If a=hati+hatj+hatk,b=hati+hatj,c=hati and (axxb)xxc=lamda a+mub, then...
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If veca=2hati-3hatj+5hatk , vecb=3hati-4hatj+5hatk and vecc=5hati-3hat...
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If veca,vecb,vecc are linearly independent vectors, then ((veca+2vecb)...
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If veca,vecb are non-collinear vectors, then [(veca,vecb,hati)]hati+[...
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If [(2veca+4vecb,vecc,vecd)]=lamda[(veca,vecc,vecd)]+mu[(vecb,vecc,vec...
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If the volume of the tetrahedron whose vertices are (1,-6,10),(-1,-3,7...
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(vecbxxvecc)xx(veccxxveca)=
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