The horizontal and vertical component of vector A is -3 and 0 respectively.
The horizontal and vertical component of vector B is 0 and 3 respectively.
The horizontal and vertical component of vector C is 0 and 6 respectively.
The horizontal and vertical component of vector D is 4 and 0 respectively.
The horizontal and vertical component of vector E is 3.54 and 3.54 respectively.
The horizontal and vertical component of vector F is -3.54 and -3.54 respectively.
The horizontal an vertical component of each vector
The horizontal and vertical component of each vector is calculated as follows;
Vector A
[tex]A_x = Acos (\theta) = 3 \times cos(180) = -3\\\\A_y = A sin(\theta) = 3 \times sin(180) = 0[/tex]
Vector B
[tex]B_x = 3 \times cos(90) = 0\\\\B_y = 3 \times sin(90) = 3[/tex]
Vector C
[tex]C_x = 6 \times cos(90) = 0\\\\C_y = 6 \times sin(90) = 6[/tex]
Vector D
[tex]D_x = 4 \times cos(0) = 4\\\\D_y = 4 \times sin(0) = 0[/tex]
Vector E
[tex]E _x = 5 \times cos (45) = 3.54 \\\\E_y = 5 \times sin(45) = 3.54[/tex]
Vector F
[tex]F_x = 5 \times cos(225) = -3.54\\\\F_y = 5 \times sin(225) = -3.54[/tex]
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