If `hat x ,hat y and hat z` are mutually perpendicular unit vectors and `a hat x + ahat y + c hat z,hat x+ hat z and c hat x+c hat y +b hat z` are coplanar, then

If widehat x,hat y,hat z are mutually perpendicular unit vectors and a widehat x+ahat y+chat z,widehat x+hat z and c widehat x+chat y+bhat z are coplanar,then (A)a,b,c are in AP (B)a,b,c are in GP(C)a,b,c are in HP(D)a,c,b are in GP

If the vectors ahat (i) + a hat (j) + c hat (k) , hat (i) + hat (k) and c hat (i) + c hat (j) + b hat (k) be coplanar, show that c^(2) = ab

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)

For what values of x, y and z the vectors 3 hat i - y hat j + 8 hat k and x hat i + 7 hat j + z hat k are equal?

Find the values of x, y and z so that the vectors vec a = x hat i + 2 hat j + z hat k and vec b = 2hati + y hat j + hat k are equal.

Find the values of x, y and z so that the vectors vec a = x hat i+2 hat j + z hat k and hat b = 2 hat i + y hat j + hat k are equal.

find the value of x,y and z so that the vectors vec a= x hat i+ 2 hat j+z hat k and vec b = 2 hat i +y hat j +hat k are equal

find the value of x,y and z so that the vectors vec a= x hat i+ 2 hat j+z hat k and vec b = 2 hat i +y hat j +hat k are equal

Find the values of x,y and z so that the vectors vec a= x hat i + 2 hat j + z hat k and vec b = 2 hat I + y hat j+ hat k are equal.