Chapter 10
Find .
Find a unit vector perpendicular to each of the vector , where .
If a unit vector makes angles ˆ ˆwith , with3 4 i jπ π and an acute angle θ with ˆk , then find θ and hence, the components of .
Show that
Find λ and µ if .
Given that and . What can you conclude about the vectors ?
| Let the vectors be given as | 1 | 2 | 3 | 1 | 2 | 3 |
|---|
ˆ ˆˆ ˆ ˆ ˆ , ,a i a j a k b i b j b k+ + + + 1 2 3 ˆˆ ˆc i c j c k+ + . Then show that .
If either then . Is the converse true? Justify your