Home
Class 11
PHYSICS
Calculate the displacement vector it ve...

Calculate the displacement vector it `vec(r)_(1) = x_(1) hat(i) + y _(1) hat(j) + z_(1) hat(k), vec(r)_(2) = x_(2) hat(i) + y_(2) hat(j) + z_(2) hat(k)`

Text Solution

Verified by Experts

Let us consider a particle moving from a point `P_(1)` having position vector `vec(r)_(1) = x_(1) hat(i) + y_(1) hat(j) + z_(1) hat(k)` to a point `P_(2)` where its position vector is `vec(r)_(2) = x_(2) hat(i) + y_(2) hat(j) + z_(2) hat(k)`
The displacement vector is givne by ,
`Delta vec(r) = vec(r)_(2) - vec(r)_(1)`
`= (x_(2) - x_(1)) hat(i) + (y_(2) - y_(1)) hat(j) + (z_(2) - z_(1)) hat(k)`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    PREMIERS PUBLISHERS|Exercise Other important questions & answers (III. Short answer questions).|26 Videos

  • KINEMATICS

    PREMIERS PUBLISHERS|Exercise Other important questions & answers (IV. Long answer questions).|34 Videos

  • KINEMATICS

    PREMIERS PUBLISHERS|Exercise Other important questions & answers (I.Multiple choice questions).|236 Videos

  • GRAVITATION

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTION & ANSWERS (CONCEPTUAL QUESTIONS)|34 Videos

  • KINETIC THEORY OF GASES

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWERS (VI. Conceptual Questions.)|8 Videos

Similar Questions

Explore conceptually related problems

using components methods, add the following vectors vec(A) = A_(x) hat(i) + A_(y)hat(j) + A_(z) hat(k) vec(B) = B_(x) hat(i) + B_(y) hat(j) + B_(z) hat(k) .

Find a vector whose length is 7 and that is perpendicular to each of the vectors vec(A) = 2 hat(i) - 3 hat(j) + 6 hat(k) and vec(B) = hat(i) + hat(j) - hat(k)

Two vectors vec(A) = hat(i) + 2 hat(j) + 2 hat(k) and vec(B) = hat(i) + 3 hat(j) + 6 hat(k) find . their dot products,

Two vectors vec(A) = hat(i) + 2 hat(j) + 2 hat(k) and vec(B) = hat(i) + 3 hat(j) + 6 hat(k) find . angle between them .

If overset(to)(a) =hat(i) - hat(k) , overset(to)(b) = x hat(i) + hat(j) + (1-x) hat(k) and vec(c ) =y hat(i) +x hat(j) + (1+x-y) hat(k) . "Then " [overset(to)(a) , overset(to)(b) , overset(to)( c) ] depends on

Find the values of x, y and z so that the vectors vec a = x hat i + 2 hat j + z hat k and vec b = 2hati + y hat j + hat k are equal.

If vec a is any vector, show that vec a = (vec a. hat i ) hat i + (vec a. hat j) hat j + (vec a. hat k) hat k .