Answer:
[tex]c= 3a[/tex]
[tex]d= b+a[/tex]
[tex]e= a-b[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find c, d and e in terms of a and/or b
To answer this question, we consider the magnitude (size) and direction (positive or negative) of each vector
Up and Right direction are treated as positive
Down and Left direction are treated as negative
Solving (a): Vector c
Vector c and vector a, point towards the same direction
And the magnitude of c is such that, it can take 3 of a.
So:
[tex]c = a + a + a[/tex]
[tex]c =3a[/tex]
Solving (b): Vector d
This is best answered using an attachment (see attachment 2 for new positions of vector a and b)
From the new positions of a and b, we can see that:
(a): Vector b starts from the tip of d
(a): Vector a starts from the end of vector b
a, b and d all point toward the same direction (right or up)
Hence:
[tex]d = b + a[/tex]
Solving (c): Vector e
This is best answered using an attachment (see attachment 2 for new positions of vector a and b)
From the new positions of a and b, we can see that:
(a): Vector a starts from the tip of e
(a): Vector b starts from the end of vector a
However, b points to the opposite direction of e
Hence:
[tex]e = a - b[/tex]
