The three vectors `V_(1)=(2,-1,2),V_(2)=(-2,1,-2),V_(3)=(1,-2,-1)` are
a)Linearly dependent
b)Linearly independent
c) both (a) and (b)
d) none of these

Four non –zero vectors will always be a. linearly dependent b. linearly independent c. either a or b d. none of these

The vectors hati+hatj, hatj+hatk and hatk+hati are (a). Linearly dependent (b). Linearly independent (c). Right angled triangle (d). none of these.

If the three vectors V_(1)=i-aj-ak,V_(2)=bi-j+bk,V_(3)=ci+cj-k are linearly dependent then find the value of (1+a)^(-1)+(1+b)^(-1)+(1+c)^(-1)

Let V_(1)=3ax^(2)i-2(x-1)j and V_(2)=b(x-1)i+x^(2)j where,ab<0. The vector V_(1) and V_(2) are linearly dependent for

If three vectors V_(1)=alphai+j+k, V_(2)=i+betaj-2k" and "V_(3)=i+j are coplanar, and V_(1)" and "V_(3) are perpendicular, then the vector V_(1) times V_(2) is:

If vec a,vec b,vec c are linearly independent vectors then which one of the following set of vectors is linearly dependent?

In the circuit as shown in figure, E_(1)=2V , E_(2)=2V, E_(3)=1V, and R=r_(1)=r_(2)=r_(3)Omega . The potential difference between points A and B will be

V_1, V_2, V_3 and V_4 are the volumes of four cubes of side lengths x c m , 2x c m , 3x c m and 4x c m respectively. Some statements regarding these volumes are given below V_1+V_2+2V_3