Vectors and Planes

Question

Vectors and Planes

anonymous · Answer

attachment

amistre64 · Answer

what do we call a point on a y axis?

anonymous · Answer

xz planes...?

amistre64 · Answer

i as leaning more towards a y intercept

amistre64 · Answer

what are the values of x and z for a point that is a y intercept?

anonymous · Answer

not sure

amistre64 · Answer

spose i ask you to pick a point, that is not the origin, that lies on the y axis.  can you give me one?

amistre64 · Answer

try to relate this to a 2 axis problem, the y intercept of a line is a point on the y axis .... what is a point on the y axis?

anonymous · Answer

4

amistre64 · Answer

well, 4 is not a point,  lets go with 0,4,0  or 0,4 for the 2 axis question

a point located on an axis will have the other axises at zero

amistre64 · Answer

can you define the y intercept of the problem with this knowledge?

anonymous · Answer

is (0,1,0) the unique point P on the y-axis which is on both planes

amistre64 · Answer

yes

amistre64 · Answer

finding a vector parallel to both planes, means that we want a vector that is in both planes, which is their line of intersection, agreed?

anonymous · Answer

yes i agreed

amistre64 · Answer

we can find that vector by crossing the normals of the given planes

anonymous · Answer

crossing the normal?

amistre64 · Answer

yes, the normal of a plane:   ax + by + cz = k  is the vector (a,b,c)

crossing is a process defined by your material, usually as a psuedo determinant

anonymous · Answer

Like cross product

amistre64 · Answer

yes

amistre64 · Answer

crossing is the process of performing a cross product

anonymous · Answer

<1, 0, -4>

amistre64 · Answer

good, now we need to make it a unit vector just bc it says to, how do we do that?

anonymous · Answer

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