Instructions: Determine whether the lines passing through the pairs of points are
parallel, perpendicular or neither.
• Line a: (5,3) and (5,7)
• Line b: (2,7) and (-1,7)
Select one:
O Perpendicular
Neither
Parallel

perpendicular

Step-by-step explanation:

the gradient of line a is (7-3)/(5-5) which is undefined as you cant divide by 0

this means it is a vertical line

the gradient of line b is (7-7)/(-1-2) = 0/-3 = 0

this means it is a horizontal line

vertical and horizontal lines are always perpendicular so lines a and b are perpendicular

Provided by Guathmaths

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

each side has a different length.  

step-by-step explanation: