the vectors joining a(1,1,-1)andb(2,-3,4) pointing frm A to B - Physics - Motion In A Plane

Question

the vectors joining a(1,1,-1)andb(2,-3,4)&pointing frm A to
B

Ruhhi Ralhan · Accepted Answer

Dear Student, Following figure will help you to understand the statement

a and b are the coordinates of two points in XYZ-plane vector A and vector B are the two vectors given by joining these two locations from origin 'o' The resultant vector C is from vector A to vector B Thus, $\vec{A} = (1 - 0) \hat{i} + (1 - 0) \hat{j} + (- 1 - 0) \hat{k} = \hat{i} + \hat{j} - \hat{k} \vec{B} = (2 - 0) \hat{i} + (- 3 - 0) \hat{j} + (4 - 0) \hat{k} = 2 \hat{i} - 3 \hat{j} + 4 \hat{k} A n d, \vec{C} = (2 - 1) \hat{i} + (- 3 - 1) \hat{j} + (4 - 1) \hat{k} = \hat{i} - 4 \hat{j} + 3 \hat{k}$

the vectors joining a(1,1,-1)andb(2,-3,4)&pointing frm A to B