Question
Vectors
Exercise 5.4
- Let
and
. Find
- In the triangle
represents
and
represents v . If D is the midpoint of
AB , then express
and
in terms of
and v .
Exercise 5.4
AB , then express
Ask by Wells Lewis. in Ethiopia
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
1. Calculations:
- a.
- b.
- c.
- d.
- e.
- f.
2. Vector Expressions in Triangle
:
- a.
- b.
- c.
Solution

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Bonus Knowledge
To find the required vector calculations, let’s dive right in!
For part
, multiplying
by 5 gives us
.
For part , we first calculate
and then
.
For part
In part
, we see
, leading to
.
For part , we have
, and therefore
.
For part
For part
, calculating gives us
, and for part
,
leads to the zero vector,
.
Now for the triangle
!
The displacement can be expressed as:
The displacement
For
, it’s the negative of
:
Finally, for
, where
is the midpoint of
:
That’s how you express these vectors in terms of
and
! Happy vector calculating!