Question

Please explain! I am so confused as to when you use pythagoreum theorum vs just adding components.

For the next two questions (#21 and #22), consider the vector vector A = vector A + vector B + vector C where the three vectors vector A, vector B, and vector C, are defined on the grid at right. The tail of each vector is at the origin, marked by an O on the grid. Grid nodes are separated by 1 unit. 21. What is the approximate magnitude of the vector vector A = vector A + vector B + vector C? (A) 3.6 (B) 4.5 (C) 5.0 (D) 7.6 (E) 13.0.

Answer 1

given,

taking the x components which is how many units its occupyinh in x axis like A is occupying 2 units in x axis ans so on

x component of A A_x = 2

B_x = 3

C_x = 2

sum of x components = 2 + 3 + 2

sum of x components = 7

similarily taking out the y components

A_y = 4

B_y = 1

C_y = -2

sum of y components = 4 + 1 - 2

sum of y components = 3

A + B + C or resultant = sqrt(sum of x components^ + sum of y components^2)

A + B + C = sqrt(7^2 + 3^2)

A + B + C = 7.6