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Consider the set of eight vectors V[ahat...

Consider the set of eight vectors `V[ahati+bhatj+chatk:a,b,c in {1-1}]`. Three non-coplanar vectors cann be chosen from V in `2^(p)` ways, then p is

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Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in {-1,1}}dot Three non-coplanar vectors can be chosen from V is 2^p ways. Then p is_______.

Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in {-1,1}}dot Three non-coplanar vectors can be chosen from V is 2^p ways. Then p is_______.

Show that the vectors a-2b+4c,-2a+3b-6c and -b+2c are coplanar vector, where a,b,c are non-coplanar vectors.

Let us define the length of a vector ahati+bhatj+chatk and |a|+|b|+|c| . This definition coincides with the usual definition of length of a vector ahati+bhatj+chatk if an only if

If the vectors 2ahati+bhatj+chatk, bhati+chatj+2ahatk and chati+2ahatj+bhatk are coplanar vectors, then the straight lines ax+by+c=0 will always pass through the point

If veca,vecb and vecc are three non-coplanar vectors, then the vector equation vecr-(1-p-q)veca+pvecb+qvecc represents a

If a,b,c are three non-coplanar vectors, then 3a-7b-4c,3a-2b+c and a+b+lamdac will be coplanar, if lamda is

If a,b and c are non-coplanar vectors, prove that 3a-7b-4c, 3a-2b+c and a+b+2c are coplanar.

If veca, vecb, vecc are three non-coplanar vectors, then a vector vecr satisfying vecr.veca=vecr.vecb=vecr.vecc=1 , is

p=2a-3b,q=a-2b+c and r=-3a+b+2c , where a,b,c being non-coplanar vectors, then the vector -2a+3b-c is equal to

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