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Can someone help me?!!!!!

Can someone help me?!!!!!-example-1
User Surasak
by
7.0k points

2 Answers

5 votes

Hello!

The answer is:

The third option,


B=-0.5A

Why?

To solve the problem, we need to remember the following vector property:

Vector multiplied by a scalar or constant number:

Multiplying a vector by a scalar number results in multiplying each of the components of the vector (x, y and z) by the scalar or constant number (including its sign).

So, we are given the following vectors:


A=(7.6,-9,2)\\B=(-3.8,4.6)

So, writing an equation that involves both given vectors, we have:


B=-0.5A\\\\(-3.8,4.6)=-0.5((7.6,-9,2))=((-0.5*7.6),(-0.5*-9.2)\\\\(-3.8,4.6)=(-3.8,4.6)

Hence, we have that the answer is the third option,


B=0.5A

Have a nice day!

User Vichevstefan
by
6.7k points
4 votes

Answer:

Third Option


B = -0.5A

Step-by-step explanation:

If we have a vector A = ax + by we know that by definition

cA = cax + cby

Where c is a constant.

In this case we have two vectors


A = 7.6\^x -9.2\^y\\\\B = -3.8\^x + 4.6\^y

You may notice that vector B has an opposite direction to vector A.

You may also notice that | Ax | is the double of | Bx | and | Ay | is double of |By |

That is to say


3.8 +3.8 = 7.6\\\\4.6 +4.6 = 9.2

So the equation that relates to vectors A and B is:


B = -0.5A.

You can verify this relationship by performing the operation


B = -0.5A


-3.8\^x + 4.6\^y = -0.5(7.6\^x -9.2\^y)\\\\\-3.8\^x + 4.6\^y = -3.8\^x + 4.6\^y

User Elkarel
by
6.0k points