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Grade: 11
        
With respect to a rectangular Cartesian coordinate system, three vectors are expressed as ‘a’ vector=4icap-jcap , ‘b’ vector=-3icap + 2jcap and c vector = -kcap where icap,jcap and kcap are unit vectors along X,Y and Z axes respectivelu. The unit vector r along the direction of the sum of these three vectors is
  1. rcap = (icap+jcap-kcap) (1/√3) ---answer
  2. rcap = (icap+jcap-kcap) (1/√2)
  3. rcap = (icap-jcap+kcap) (1/√3)
  4. rcap = (icap+jcap+kcap) (1/√3)
  5. rcap = (icap-jcap+kcap) (1/√2)
How do you get this answer? Thanks!
    3 years ago

    Answers : (1)

    Manas Shukla
    102 Points
    							
    First thing to note in this question is unit vector which is defined as
    unit vector = \frac{\underset{r}{\rightarrow}}{\left | \underset{r}{\rightarrow} \right |}
    so here resultant = vector a + vector b + vector c
    R = 4i – j – 3i +2j – k = i + j – k
    now modulus of R = \sqrt{x^{2}+y^{2}+z^{2}}
    where R = xi + yj + zk
    Now for this problem
    unit vector = i + j – k / \sqrt{3}
    3 years ago
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