Analytic Geometry Answers

Determine the y-intercept.

is a sum of two vector?
a)resultant vector
b)free vector
c)null vector
d)possition vector

find the vector product axb.if a=i+2j-k and b=2i+3j+k?
a)5i-3j-k
b)2i-4j-k
c)3i+j-k
d)I-j+3k

A vector heving direction opposite to that of vector A,buth with the same magnitude is denoted by?
a)-B
b)A
c)-A
d)B

A dot product is said to be distributive,if A...A...
a)m.u=u.m
b)m(u.v)=v(m.v)
c)u.(v+w)=(u.v+u.w)
d)m=u

A dot product said to be distributive,if. A...A....

a)m.u=u.m

b)m(u.v)=v(m.v)

c)u.(v+w)=(u.v+u.w)

d)m=u

a circle is tangent to lines 5x+2y-10=0 and 5x+2y+2=0. find its area and center.

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

2 Given that A1=3i−2j+k,A2=2i−4j−3k,A3=−i+2j+2k, find the magnitudes of 2A1−3A2−5A3
3 Given that A1=2i−j+k,A2=i+3j−2k,A3=3i+2j+5kand A4=3i+2j+5k,Find scalars a, b, c suchthat A4=aA1+bA2+cA3
5 A car travels 3km due north, then 5km northeast. Determine the resultant displacement
6 If A1=3i−j−4k, A2=−2i+4j−3k,A3=i+2j−k, find |3A1−2A3+4A3|

Find the standard equation of the circle touching the line x + 2y = 8 at (0, 4) and passing through (3, 7).