The magnitude of the vector sum of the two vectors V and W is determined as 240.84 m toward + x.
What is a vector?
A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
The following are the x and y axes for the supplied vector:
Vector V in x direction;
[tex]\rm V_x = Vcos \theta \\\\ V_x = 448cos(224^0)\\\\ Vx = -322.26[/tex]
Vector V in y direction;
[tex]\rm V_y = Vsin \theta\\\\ V_y = 448 \times sin224^0\\\\ V_y = -311.2[/tex]
Vector W in x direction;
[tex]\rm W_x = 336 \times cos(75.9^0)\\\\ W_x = 81.86[/tex]
Vector W in y direction;
[tex]\rm W_y = 336 \times sin75.9\\\\\ W_y = 325.88[/tex]
The resultant vector in the x direction is;
∑X = -322.26 + 81.86
∑X == -240.4
The resultant vector in the y direction is;
∑Y = -311.2 + 325.88
∑Y = 14.68
The resultant vector is found as;
[tex]\rm R =\sqrt{(-240.4)^2+(14.68)^2} \\\\R = 240.84 \ m[/tex]
Hence, the direction of their vector sum is 240.84 toward +x-axis.
To learn more about the vector, refer to the link;
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