Vector in Component
For this question, p=0.6i-aj, q=bi+cj, r=di+ej and s=fi+gj
find the possible values of a b c d e f and g given that
- p is a unit vector and a is a positive constant
- q is in the same direction as p and 5 times the magnitude
- s is in the same direction as r but equal in magnitude to q
Hi, Fibonacci. What have you tried so far? Do you know how to find the magnitude (norm) of a vector? If so, you can use the conditions given to form a set of equations.
Let me get you started:
We are told that , where is a unit vector, which means its magnitude is 1, and is positive.
Since , we have
Square both sides:
And since , you can discard the negative solution. Does that help?
yes, i'll try and see if i can work out the other part of the question now