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A student starts from the hostel and goes to his friend's house and then to his school. A is the displacement vector from the hostel to his friend's house. B is the displacement vector from his friend's house to school, and C is the direct path from the hostel to school. Which of the following vector operations is correct for the displacement from the hostel to his friend's house?
A) A - B.
B) A + B.
C) C - B.
D) C + B.

Respuesta :

Answer:[tex]\vec{C}-\vec{B}[/tex]

Explanation:

Given

[tex]\vec{A}[/tex] is displacement of student from Hostel to house

[tex]\vec{B}[/tex] is displacement of student from house to school

And [tex]\vec{C}[/tex] is displacement of student from Hostel to school    

According to the triangle law of vector addition  

If two vectors are acting on a body simultaneously that are shown by magnitude and direction by two sides of a triangle taken in order then the third side is the resultant of two vectors that are taken in opposite direction.

[tex]\vec{A}+\vec{B}=\vec{C}[/tex]

[tex]\vec{A}=\vec{C}-\vec{B}[/tex]

so option c is correct

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