0

Guest

Courses New

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 rcap = (icap+jcap-kcap) (1/√3) ---answer rcap = (icap+jcap-kcap) (1/√2) rcap = (icap-jcap+kcap) (1/√3) rcap = (icap+jcap+kcap) (1/√3) rcap = (icap-jcap+kcap) (1/√2) How do you get this answer? Thanks!

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!

    Grade:11

    1 Answers

    Manas Shukla
    102 Points
    7 years ago
    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}

    Think You Can Provide A Better Answer ?

    Other Related Questions on Mechanics

    View all Questions »

    ASK QUESTION

    Get your questions answered by the expert for free

    Answer and earn gift vouchers

    Win Gift vouchers upto Rs 500/-

    View courses by askIITians

    Design classes One-on-One in your own way with Top IITians/Medical Professionals

    Click Here Know More

    Complete Self Study Package designed by Industry Leading Experts

    Click Here Know More

    Live 1-1 coding classes to unleash the Creator in your Child

    Click Here Know More

    a Complete All-in-One Study package Fully Loaded inside a Tablet!

    Click Here Know More