Question 1
The diagram shows two
vectors X and Y, drawn to scale.
If X = Y – Z, which diagram best represents the
vector Z?
Reference: Past Exam Paper – June 2016 Paper 12 Q3
Solution:
Answer:
A.
In terms of vector
diagram, we usually work with vector addition instead of subtraction. So,
first, let’s try to work the equation in terms of ‘+’.
X = Y – Z = Y + (– Z)
From the equation, when we
add the 2 vectors Y and (-Z), we obtain the resultant vector X.
To draw the vector
diagram, we start by drawing a vector (vector Y). Then, we add the second
vector (-Z, as in the equation) by drawing the tail of this second vector (-Z)
at the head of the first vector. The resultant vector (X) starts from the tail
of the vector Y to the head of vector (-Z).
Thus, the green vector represents
vector (-Z). Vector Z is just in the opposite direction than vector (-Z).
No comments:
Post a Comment
If it's a past exam question, do not include links to the paper. Only the reference.
Comments will only be published after moderation