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3 years ago

Which diagram shows the parallelogram method for vector addition?.

SAT

1 answer:

statuscvo [17]3 years ago

6 0

The diagram which shows the parallelogram method for vector addition is shown in the image attached below.

In this scenario, let the two (2) vectors representing the two (2) adjacent sides of a parallelogram in both magnitude and direction drawn from a common point be:

The parallelogram law of vector addition states that if two (2) vectors $\vec u$ and $\vec v$ represent the two (2) adjacent sides of a parallelogram in both magnitude and direction drawn from a common point, then their sum $\vec{u} + \vec{v}$ or resultant vector ( $\vec R$ ) is equal to the diagonal of the parallelogram passing through that point in both magnitude and direction.

Therefore, the diagram which shows the parallelogram method for vector addition is shown in the image attached below.

Read more on parallelogram method for vector addition here: brainly.com/question/18261687

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Answer:

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Read 2 more answers

The width of a rectangle is to third the length. When each dimension is decreased by 2 cm, the area is decreased by 32 cm period

mario62 [17]

Hey there!!

Basic formula :

Area of a rectangle = Length × breadth

Given :

Width = two third of the length

......................................................

Let's take the dimension of the length as ' x '

Then the breadth would be = 2x / 3

Area = ( x ) × ( 2x / 3 )

Area = 2x² / 3

........................................................

Each dimension is decreased by 2

This states that we will need to add 2 to both length and breadth

.......................................................

Length = x - 2

Breadth = 2x / 3 - 2

= 2x - 6 / 3

Area = ( x - 2 ) × ( 2x - 6 / 3 )

Area = 2x² - 10x + 12 / 3

.................................................

What they say?

Area is decreased by 32 cm

Which means..

If we add 32 to the new rectangles area , the areas would be equal to the new and the old rectangle

2x² / 3 = ( 2x² - 10x + 12 / 3 ) + ( 32 )

2x² / 3 = 2x² - 10x + 108 / 3

Multiplying by 3 on both sides

2x² = 2x² - 10x + 108

Adding 10x on both sides

2x² + 10x = 2x² + 108

subtracting by 2x² on both sides

10x = 108

Dividing by 10 on bot sides

x = 10.8

Length of the original rectangle = 10.8 cm

Breadth = 2 ( 10.8 ) / 3

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Hope my answer helps!

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