Question

A right triangle with the base labeled 40 meters and the height labeled 30 meters. The hypotenuse is a dotted arrow labeled R. What is the magnitude of the resultant vector? 10 meters 50 meters 1200 meters 2500 meters

Answer 1

Answer:

The magnitude of the resultant vector R is 50 meters ⇒ 2nd answer

Explanation:

The resultant vector is the vector sum of two or more vectors

If the two vectors perpendicular to each other, then the magnitude of

the resultant vector is the square root of the sum of their squares

If x and y are two vectors perpendicular to each other, then the

magnitude of its resultant vector R is:

→ $R=\sqrt{x^{2}+y^{2}}$

Lets solve the problem

A right triangle with the base labeled 40 meters and the height labeled

30 meters

The hypotenuse is a dotted arrow labeled R

→ The base and the height of the right triangle are perpendicular

→ The hypotenuse is the resultant vector of them

Assume that x represents the base of the triangle and y represents the

height of it

By using the rule above

→ x = 40 m , y = 30 m

→ $R=\sqrt{x^{2}+y^{2}}$

→ $R=\sqrt{(40)^{2}+(30)^{2}}$

→ $R=\sqrt{1600+900}$

→ $R=\sqrt{2500}=50$

The magnitude of the resultant vector R is 50 meters