Home
Class 12
MATHS
Find the scalar and vector components of...

Find the scalar and vector components of the vector with initial point `(2,1)` and terminal point `(-5,7)`.

Text Solution

Verified by Experts

Vector with initial point A(2,1) and final (terminal) point B (-5,7) can be given by `AB=(x_2-x_1) hat(i) +(y_2-y_1) hat(j)=(-5-2)hat(i)+(7-1)hat(i)=(-7)hat(i)+6 hat(j)`.
Hence , the required scalar components (coefficients of `hat(i) and hat(j)` are -7 and 6 while the vector components are `-7hat(i) and 6 hat(i)`.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    SUBHASH PUBLICATION|Exercise TWO MARKS/THREE MARKS QUESTIONS WITH ANSWERS|37 Videos
  • VECTOR ALGEBRA

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|4 Videos
  • TRIANGLES

    SUBHASH PUBLICATION|Exercise Exercise 5.7|1 Videos

Similar Questions

Explore conceptually related problems

Find the vector components of the vector with initial point (2,1) and terminal point (-5,7).

Mention the two rectangular components of a vector 'A'

Find the position vector of the mid point of the vector joining the points P(2,3,4) and Q(4,1,-2).

Is charge a scalar or a vector?

Find the direction cosines of the vector joining the points A(1,2,-3) and B(-1,-2,1) directed from A to B.

Find the scalar and vector products of two vectors. a = (3hati – 4hatj + 5hatk) and b = (– 2hati + hatj – 3hatk )

Find the direction cosines of the vector joining the points A(1, 2, 3) and B(1, 2, 1) , directed from A to B.

Find the vector equation of the line passing through the point (-1, 0,2) and (3,4,6)

Write the vector joining the points A(2,3,0) and B(1,2,4).