Given →A=0.3^i+0.4^j+c^k. Calculate the value of c if A is a unit vector.
0.87
If →A is a unit vector then its magnitude must be unity.
⇒ √a2x+a2y+a2z=1i.e., √(0.3)2+(0.4)2+c2=1
or 0.09 + 0.16 + c2 = 1
or c2 = 1 - 0.25 = 0.75 or c = 0.87