Question

The components of vector and vector are:Ax = +7.6 Bx = −3.8Ay = -9.2 By = +4.6Which equation describes the relationship between the two vectors? = 2 = + (2,0) = −0.5 = + (3.8,−4.6)

Answer 1

Given:

`\begin{gathered} A_x=\text{ 7.6} \\ A_y\text{ = -9.2} \\ B_x=-3.8 \\ B_y=\text{ 4.6} \end{gathered}`

To find the equation that describes the relationship.

Step-by-step explanation:

The vector A will be

`\begin{gathered} A=A_x+A_y \\ =\text{ \lparen7.6\rparen}_x\text{ +\lparen-9.2\rparen}_y \end{gathered}`

The vector B will be

`\begin{gathered} B=\text{ B}_x+B_y \\ =(-3.8)_x+(4.6)_y \end{gathered}`

The vector B can be written as

`\begin{gathered} B=\text{ -\lbrack\lparen3.8\rparen}_x-(4.6)_y\text{\rbrack} \\ (1)/(2)\text{ B}=\text{ -}(1)/(2)[\text{\lparen3.8\rparen}_x-(4.6)_y] \\ B=-(1)/(2)[2*\lbrace\text{\lparen3.8\rparen}_x-(4.6)_y\rbrace] \\ =-0.5[(7.6)_x-(9.2)_y] \\ B=-0.5\text{ A} \end{gathered}`