The components of the vector K is -4i
The components of the vector M is 3.99i + 3.0j.
The components of the vector L is 6.0i.
The sum of the three vectors is 6.7.
The result obtained from the subtraction of vector K from vector L, is 10.0.
What is component of a vector?
- This is the vector representation of the vector in a particular direction.
The given vectors:
- Vector k = - 4.0 at angle 0 degrees
- Vector M = 5.0 at angle 37 degrees
- Vector L = 6.0 at angle 0 degrees
The components of the vector K is calculated as follows;
[tex]K_x = -4 \times cos(0) = - 4.0\\\\K_y = - 4 \times sin(0) = 0[/tex]
The components of the vector M is calculated as follows;
[tex]M_x = 5.0 \times cos(37)= 3.99 \\\\M_y = 5.0 \times sin(37) =3.0[/tex]
The components of the vector L is calculated as follows;
[tex]L_x = 6 \times cos(0) = 6.0\\\\L_y = 6 \times sin(0) = 0[/tex]
The sum of the three vectors is calculated as follows;
[tex]K+ M + L = (K_x + M_x + L_x) + (K_y + M_y + L_y)\\\\K+ M + L = (-4 + 3.99 + 6) + (0 + 3 + 0)\\\\K+ M + L = 5.99i + 3j\\\\Resultant = \sqrt{5.99^2 + 3^2} \\\\Resultant = 6.7[/tex]
The subtraction of vector K from vector L, is calculated as follows;
[tex]L - K = 6i - (-4i)\\\\L-K = 6i + 4i\\\\L-K = 10i\\\\Resultant = \sqrt{10^2} \\\\Resultant = 10.0[/tex]
Learn more about component vectors here: https://brainly.com/question/13416288
