Question

If A of vector =2i +3j and B of vector = 3i-2j +k. Find the magnitude of vector of A+B and vector of A-B

Answer 1

Answer:

math]A-B=(3\hat i+2\hat j)-(2\hat i+3\hat j-\hat k)=\hat i-\hat j+\hat k[/math]. The desired unit vector is thus [math]\frac{A-B}{||A-B||}=\frac{\hat i-\hat j+\hat k}{\sqrt{1^2+1^2+1^2}}=\frac 1{\sqrt 3}(\hat i-\hat j+\hat k)[/math]