Question

plz explain me ....​

Answer 1

Answer:

Given:

5 vectors have been provided in the form of 2 triangles.

To find:

• Relationship between vectors

Concept:

First assign names to the triangle , It will be helpful in identify of vectors. Let the Left triangle be X and Right triangle be Y.

Calculation:

1st question:

Let's consider Triangle Y :

Vectors A , B , E are all directed cyclically , so we can say that :

$\boxed{ \bold{ \huge{ \vec A + \vec B = - ( \vec E)}}}$

2nd question:

Now consider Triangle X , we can see that :

$\bold{ \huge{ \vec A + \vec C = \vec D}}$

$\boxed{ \bold{ \huge{ \vec D - \vec C = \vec A}}}$

3rd question :

In this, we need to consider both the triangles.

And we need to use the equations derived in earlier answers :

$\bold{ \huge{ \vec E + (\vec D - \vec C)}}$

$\bold{ \huge{ = \vec E + (\vec A)}}$

$\bold{ \huge{ = - (\vec A + \vec B) + (\vec A)}}$

$\boxed{ \bold{ \huge{ = - \vec B}}}$

Answer 2

$</p><p>\tt{\pink{\huge{Hello!!! }}}$

From the above figure, the following interferences are ovious.

$\tt{ \purple{\implies{ \vec{A} \: + \vec{B} \: = \vec{E}}}}.........(A1)$

$\tt{ \orange{\implies{ \vec{A} \: + \vec{C} \: = \vec{D}}}}$

$\tt{\implies{ \purple{ \vec{D} \: -\vec{C} \: = \vec{A}}}}..........(A2)$

$\tt{ \red{ \implies {\vec{E} \: +( \vec{D} \: -\vec{C}\:) = \vec{E} + \vec{A} = - \vec{B}.........(A3)}}}$