`3axx4bxx7c=`

If axx(bxxc)=(axxb)xxc , then ( vec cxx vec a)xx vec b= vec0 b. vec cxx( vec axx vec b)= vec0 c. vec bxx( vec cxx vec a) =0 d. ( vec cxx vec a)xx vec b= vec bxx( vec cxx vec a)= vec0

Prove that axx(bxxc)+bxx(cxxa)+cxx(axxb)=0

Let hat a , hat b ,and hat c be the non-coplanar unit vectors. The angle between hat b and hat c is alpha , between hat c and hat a is beta and between hat a and hat b is gamma . If A( hat a cosalpha, 0),B( hat bcosbeta, 0) and C( hat c cosgamma, 0), then show that in triangle AB C , (|hat axx(hat bxx hat c)|)/(sinA)=(|hat bxx(hat cxx hat a)|)/(sinB)=(|hat cxx(hat axx hat b)|)/(sinC)

If 1176=2^a xx\ 3^bxx\ 7^c , find the values of a ,\ b\ a n d\ c . Hence, compute the value of 2^a xx\ 3^b xx\ 7^(-c) as a fraction.

p,q and r are three vectors defined by p=axx(b+c),q=bxx(c+a) and r=cxx(a+b) Statement I: p,q and r are coplanar. Statement II: Vectors p,q,r are linearly independent.

x^axx x^b xx x^c xx x^-d

The value for [axx(b+c),bxx(c-2a),cxx(a+3b)] is equal to

The vector component of vec b perpendicular to vec a is a. ( vec bdot vec c) vec a b. ( vec axx( vec bxx vec a))/(| vec a|^2) c. vec axx( vec bxx vec a) d. none of these

vec axx( vec bxx vec c) , vec bxx( vec cxx vec a) and vec cxx( vec axx vec b) are: linearly dependent (b) coplanar vector (c) parallel vectors (d) non coplanar vectors

If vec axx vec b= vec cxx vec da n d vec axx vec c= vec bxx vec d , then show that vec a- vec d , is paralelto vec b- vec c