Answer to Question #63504 in Analytic Geometry for hoseph ogala

Question

6. If
A1=3i−j−4k
A1=3i−j−4k
,
A2=−2i+4j−3k
A2=−2i+4j−3k
,
A3=i+2j−k
A3=i+2j−k
, find
|3A1−2A3+4A3|
7 Find a unit vector parallel to the resultant vector
A1=2i+4j−5k
A1=2i+4j−5k
,
A2=1+2j+3k
8 Given the scalar defined by
ϕ(x,y,z)=3x2z−xy2+5
ϕ(x,y,z)=3x2z−xy2+5
,find
ϕ
ϕ
at the points (-1,-2,-3)
9 The following forces act on a particle P:
F1=2i+3j−5k
F1=2i+3j−5k
,
F2=−5i+j+3k
F2=−5i+j+3k
,
F3=i−2j+4k
F3=i−2j+4k
,
F4=4i−3j−2k
F4=4i−3j−2k

, Find the magnitude of the resultant
10. If a and b are non-collinear vectors and
A=(x+y)a+(2x+y+1)b