It is about vector how to find vector of AM i have AC?

Question

860 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-17T10:30:19

# vec(AC)=-8i +8j+0k and vec(AM)=-6i+2j+5k#.

Clearly, #A(8,0,0), C(0,8,0), B(8,8,0)#.

#:. vec(AC)=C(0,8,0)-(8,0,0)=(-8,8,0)#.

#:. vec(AC)=-8i +8j+0k#.

Since #D# is the midpoint of the segment #OB#, we have,

#D=D((0+8)/2,(0+8)/2,(0+0)/2)=D(4,4,0)#.

#:. X=X(4,4,10)#.

Given that #M# is the midpoint of the segment #OX#,

#M=M((0+4)/2,(0+4)/2,(0+10)/2)=M(2,2,5)#.

#:. vec(AM)=(2,2,5)-(8,0,0)=(-6,2,5)#.

# rArr vec(AM)=-6i+2j+5k#.