veronicarobles66
contestada

Vector A points along the + y axis and a magnitude of 100.0 units. Vector B points at an angle of 60.0 degrees above the +x axis and has a magnitude of 200.0 units. Vector C points along the +x axis and has a magnitude of 150.0 units. Which vector has (a ) the largest x component and (b) the largest y component ?

Respuesta :

happy200086

Answer:

vector quantities are resolved into their component form (along the x and y-axis) before adding them. Let us assume that two vectors are

→

a

=

x

1

^

i

+

y

1

^

j

and

→

b

=

x

2

^

i

+

y

2

^

j

, we can find the sum of two vectors as follows.

→

a

+

→

b

=

x

1

^

i

+

y

1

^

j

+

x

2

^

i

+

y

2

^

j

=

(

x

1

+

x

2

)

^

i

+

(

y

1

+

y

2

)

^

j

The direction of the sum of the vectors (with positive x-axis) is,

θ

=

tan

−

1

(

y

1

+

y

2

x

1

+

x

2

)

Out of all the largest x component is of Vector C of value 150i and Vector B will have highest y component of value 173j

What is vector ?

Vectors are objects which have both, magnitude and direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

Vector A = direction is in y direction = 100j

Since , this vector is only in y direction and have no component in x direction , so its x component will be = 0i

Vector B = direction is at angle of 60.0 degrees above the +x axis  

Resolving into x and y components

x component = Vector B*cos(60) = Vector B * (1/2) = Vector B /2 = 200 /2

                                                                                                           = 100i

y component = Vector B * sin(60) = Vector B  * [tex]\sqrt{3}[/tex]/2  = 173j

Vector C = direction is along the +x axis

hence , it will not have any y component

x component = 150i

y component = 0j

Out of all the largest x component is of Vector C of value 150i and Vector B will have highest y component of value 173j

To learn more about vector here

https://brainly.com/question/13322477?referrer=searchResults

#SPJ2

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