A line has a slope 1 and passes through the origin. Find a vector equation of the line

a) [x,y]=[1,1]+t[1,0]

b) [x,y]=t[1,1]

c) [x,y]=t[0,1]

d) [x,y]=[1,1] + t[0,0]

Write the scalar equation of the plane with normal vector n> = [1,-1,1] and having an x-intercept of 7

a) 7x-7+7=-7=0

b) 7x-y=-7=0

c) x-y=+7=0

d)x-y+=-7=0

a plane passes through three points of A(1,1,1) B(2,3,4) and C(1,0,1), find a vector equation of the plane

a) [x,y,=]=[1,1,1]+s[1,2,3]+t[0,-1,-]

b) [x,y,=]=[1,1,1] +s[2,3,4]+t[1,0,1]

c)[x,y,=]=[1,2,3]+s[2,3,4]+t[1,0,1]

d)[x,y,=]=[1,1,1]+s[1,0,1]+t[1,2,3]

a plane passes through the origin and has the direction vectors [1,2,3] and [-1,3,-2], what is the scalar equation of the plane?

The equation of the plane is x+2y+3=-6=0, what is the y-int?

the equation of the plane is 3x-5y+7=+3=0, what is the normal vector to the plane?

what is the intersection point of the two lines; x+2y+6=0 and 2x-3y-16=0

in 3 spaces, find the intersection point of the two lines; [x,y,=]+[-1,2,0] +t[3,-1,4] and [x,y,=]=[-6,8,-1]+t[2,-5,-3]