If ` vec a_r=x_r hat i+y_r hat j+z_r hat k` , where `r=1,2,3` are three mutually perpendicular unit vectors, then possible values of the determinant `|x_1x_2x_3y_1y_2y_3z_1z_2z_3|a r e`

Let vec a_r=x_r hat i+y_r hat j+z_r hat k ,r=1,2,3 be three mutually perpendicular unit vectors, then the value of |[x_1,x_2,x_3],[y_1,y_2,y_3],[z_1,z_2,z_3]| is equal to a. 0 b. +-1 c. +-2 d. none of these

Let vec a_r=x_r hat i+y_r hat j+z_r hat k ,r=1,2,3 be three mutually perpendicular unit vectors, then the value of |[x_1,x_2,x_3],[y_1,y_2,y_3],[z_1,z_2,z_3]| is equal to 0 b. +-1 c. +-2 d. none of these

Let vec a_r=x_r hat i+y_r hat j+z_r hat k ,r=1,2,3 be three mutually perpendicular unit vectors, then the value of |[x_1,x_2,x_3],[y_1,y_2,y_3],[z_1,z_2,z_3]| is equal to a. 0 b. +-1 c. +-2 d. none of these

Let vec a_r=x_r hat i+y_r hat j+z_r hat k ,r=1,2,3 be three mutually perpendicular unit vectors, then the value of |[x_1,x_2,x_3],[y_1,y_2,y_3],[z_1,z_2,z_3]| is equal to 0 b. +-1 c. +-2 d. none of these

Let overset(to)(a_(r))=x_(r )hat(i)+y_(r )hat(j)+z_(r )hat(k),r=1,2,3 three mutually prependicular unit vectors then the value of |{:(x_(1),,x_(2),,x_(3)),(y_(1),,y_(2) ,,y_(3)),(z_(1),,z_(2),,z_(3)):}| is equal to

Let overset(to)(a_(r))=x_(r )hat(i)+y_(r )hat(j)+z_(r )hat(k),r=1,2,3 three mutually prependicular unit vectors then the value of |{:(x_(1),,-x_(2),,x_(3)),(y_(1),,y_(2) ,,y_(3)),(z_(1),,z_(2),,z_(3)):}| is equal to

Let overset(to)(a_(r))=x_(r )hat(i)+y_(r )hat(j)+z_(r )hat(k),r=1,2,3 three mutually prependicular unit vectors then the value of |{:(x_(1),,-x_(2),,x_(3)),(y_(1),,y_(2) ,,y_(3)),(z_(1),,z_(2),,z_(3)):}| is equal to

Let overset(to)(a_(r))=x_(r )hat(i)+y_(r )hat(j)+z_(r )hat(k),r=1,2,3 three mutually prependicular unit vectors then the value of |{:(x_(1),,-x_(2),,x_(3)),(y_(1),,y_(2) ,,y_(3)),(z_(1),,z_(2),,z_(3)):}| is equal to

If vec r=x hat i+y hat j+z hat k ,\ then write the value of | vec rxx hat i|^2dot