The magnitude of the x-component of vector vecA is 3 and the magnitude of vector vecA is 5. What is the magnitude of the y-component of vector vecA ?

Question

The magnitude of the x-component of vector vecA is 3 and the magnitude of vector vecA is 5. What is the magnitude of the y-component of vector vecA ? (A) 3 (B) 4 (C) 5 (D) 8

Tardigrade Admin · Accepted Answer

vecA=Ax hati+Ay hatj Also A=√A2x+A2y Here, A=5, Ax=3 ∴ 5=√(3)2+A2y Squaring both sides, we get 25=9+A2y or Ay=4

Q. The magnitude of the $x$ -component of vector $A$ is $3$ and the magnitude of vector $A$ is $5$ . What is the magnitude of the $y$ -component of vector $A$ ?

$3$

$4$

$5$

$8$

$A = A_{x} \hat{i} + A_{y} \hat{j}$
Also $A = A_{x}^{2} + A_{y}^{2}$
Here, $A = 5$ , $A_{x} = 3$
$∴ 5 = (3)^{2} + A_{y}^{2}$
Squaring both sides, we get
$25 = 9 + A_{y}^{2}$
or $A_{y} = 4$

Q. The magnitude of the x-component of vector A is 3 and the magnitude of vector A is 5. What is the magnitude of the y-component of vector A ?

3

4

5

8

A=Ax​i^+Ay​j^​ Also A=Ax2​+Ay2​​ Here, A=5, Ax​=3 ∴5=(3)2+Ay2​​ Squaring both sides, we get 25=9+Ay2​ or Ay​=4

Q. The magnitude of the $x$ -component of vector $A$ is $3$ and the magnitude of vector $A$ is $5$ . What is the magnitude of the $y$ -component of vector $A$ ?

$3$

$4$

$5$

$8$

$A = A_{x} \hat{i} + A_{y} \hat{j}$
Also $A = A_{x}^{2} + A_{y}^{2}$
Here, $A = 5$ , $A_{x} = 3$
$∴ 5 = (3)^{2} + A_{y}^{2}$
Squaring both sides, we get
$25 = 9 + A_{y}^{2}$
or $A_{y} = 4$