Question

One rectangular component of a vector A is 30 unit. If the magnitude of given vector is 50 unit, then the another rectangular component is:

a) 30

b)20

c)40

d)50

Answer 1

Answer:

B= 3 THAT IS 30 IS (CORRECT ANSWER)

Answer 2

Given: The rectangular component of the vector A is $30$ unit and its magnitude is $50$ unit.

To find: The rectangular component of another vector of the same magnitude.

Solution:

It is given that the rectangular component of vector A is $=30$

The magnitude of the vector $A_x=50$

We need to find out the other component of the vector and let that component be $A_y$

Therefore, according to the formula for vectors,

$A^2=A_x^2+A_y^2$

We know, $A=50,A_x=30$

∴ $A_y^2=A^2-A_X^2$

⇒ $A_y^2 = 50^2-30^2$

⇒ $A_y^2=2500-900$

⇒ $A_y^2=1600$

⇒ $A_y=\sqrt{1600}$

⇒$A_y=40$

The value of the other rectangular component of the given vector is found out to be $40$

Final Answer:

Option(c) is the correct answer for the question.