Equilateral Triangle: Vectors
Not what you're looking for?
See the attachment for a diagram of an equilateral triangle with sides u, v and w. U is a unit vector. Find u dot v and u dot w (u.v and u.w).
The answers are: u.v = 1/2, and u.w = -1/2.
Why is u.w a minus 1/2?
Purchase this Solution
Solution Summary
The solution finds u dot v and u dot w (u.v and u.w) from the diagram provided.
Solution Preview
From the diagram we see that:
u + w = v
Then:
w = v - u
And:
u.w = u.(v-u)
Because the dot product is distributive:
u.w = u . (v-u) = u.v - u.u
We know ...
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability