[" ompute the magnitude of the following vectors: "],[qquad a=hat i+hat j+k;quad b=2hat i-7hat j-3hat k;quad c=(1)/(sqrt(3))hat i+(1)/(sqrt(3))hat j-(1)/(sqrt(3))hat k]

Compute the magnitude of the following vectors: quad vec a=hat i+hat j+hat kvdotsvec b=2hat i-7hat j-3hat k;vec c=(1)/(sqrt(3))hat i+(1)/(sqrt(3))hat j-(1)/(sqrt(3))hat k

Compute the magnitude of the following vectors: veca= hat i+ hat j+ hat k ; vecb=2 hat i-7 hat j-3 hat k ; vecc=1/(sqrt(3)) hat i+1/(sqrt(3)) hat j-1/(sqrt(3)) hat k

Compute the magnitude of the following vectors : a = hat(i)+hat(j)+hat(k),b=2hat(i)-7hat(j)-3hat(k),c=(1)/(sqrt(3))hat(i)+(1)/(sqrt(3))hat(j)-(1)/(sqrt(3))hat(k) .

Compute the magnitude of the following vectors : vec a= hat i + hat j+ hatk, vec b=2 hat i- 7 hat j- 3 hat k, vec c= 1/sqrt3 hat i +1/sqrt3 hat j- 1/sqrt3 hatk

The unit vector perpendicular to both hat i+hat j and hat j-hat k is [A] (1)/(sqrt(3))(hat i+hat j-hat k) ,[B] (1)/(sqrt(3))(-hat i+hat j+hat k) , [C] (1)/(sqrt(3))(hat i-hat j+hat k)

A non-zero vector vec a is such that its projections along vectors ( hat i+ hat j)/(sqrt(2)),(- hat i+ hat j)/(sqrt(2)) and hat k are equal, then unit vector along vec a is (sqrt(2) hat j- hat k)/(sqrt(3)) b. ( hat j-sqrt(2) hat k)/(sqrt(3)) c. (sqrt(2))/(sqrt(3)) hat j+( hat k)/(sqrt(3)) d. ( hat j- hat k)/(sqrt(2))

The unit vector which is orthogonal to the vector 5hat j+2hat j+6hat k and is coplanar with vectors 2hat i+hat j+hat k and hat i-hat j+hat k is (2hat i-6hat j+hat k)/(sqrt(41)) b.(2hat i-3hat jmath)/(sqrt(13)) c.(3hat i-hat k)/(sqrt(10))d.(4hat i+3hat jmath-3hat k)/(sqrt(34))

The sides of a parallelogram are 2hat i+4hat j-5hat k and hat i+2hat j+3hat k .The unit vector parallel to one of the diagonals is a.(1)/(7)(3hat i+6hat j-2hat k) b.(1)/(7)(3hat i-6hat j-2hat k) c.(1)/(sqrt(69))(hat i+6hat j+8hat k) d.(1)/(sqrt(69))(-hat i-2hat j+8hat k)