Hey everyone! I have a question about the orthogonality of two vectors
The question is: It is given: llmll = 4; llnll = square root of 3; (m^,n)= 150 degrees
(i) find the norm of the vector m + 2n
(ii) Determine if the vectors (m+2n) and (-m+n) are orthogonal
I got an answer of 2 for the norm but I don't know what to do for the second part. Do I just substitute the values of m and n into the vectors and if they both equal 0 when multiplied, they are orthogonal? Any help would be greatly appreciated
I have this same exact question.
Now this is the method I used to find the norm, or length of the vector (m+2n). However, I am still at a loss as to how to test the orthogonality of the two vectors (m+2n) and (-m+n).Well you know that .
From that you can find
Now
Thanks in advance.
Yes, that's what i'm looking for.
I suppose the part that is confusing me is simply that its not asking something as simple as (m dot n). Which is very simple to figure out, but I am confused on how to approach this when they are combinations of vectors such as (m+2n) and (-m+n)...