Descriptive Geometry

Which of the following statements is true about the slopes of two parallel lines in a Cartesian plane?

• Two straight lines are parallel if they have different slopes.

• Two lines are parallel if the product of their slopes is -1.

• Two straight lines are parallel if their slopes are equal.

• Two straight lines are parallel if their slopes are perpendicular.

Two straight lines in a Cartesian plane are perpendicular if the product of their slopes is equal to -1.

• True

• False

The formula used to determine the angle between two vectors is:

• Tan α = A*B/||A||+||B||

• Sen α = A*B/||A||*||B||

• Cos α = A*B/||A||*||B||

• Cos α = A*B/||A||+||B||

If the points A(2,3) and B(6,7) are in the Cartesian plane, what is the distance between them?

• √32

• 32

• 4√2

• None of the above

If the equation of the line B is y = 2x + 4, which of the following equations represents a line perpendicular to the line B?

• y= 2x - 1

• y= -1/2x + 3

• y= 2x + 5

• y= 1/2x - 2

A determinant can have negative elements

• False

• True

A determinant is a set of numbers graphically on a plane?

• True

• False

The correct formula for calculating the distance between two points A:(6,-2) B:(5,9) on a Cartesian plane is:

• d= √(5-2)+(9-6)

• d= (5-6)²*(9+2)²

• d= √(5-6)²+(9+2)²

• d= √(5-6)²*(9-2)²

Calculate the resultant vector of the following vectors:
A= 4 cm θ 45° N-E
B= 3 cm θ 30° S-E

• 5,5 cm

• 9,5 cm

• 6,5 cm

• None of the above

Calculate the resultant vector of the following vectors:
A= 5 cm θ 30° N-E
B= 8 cm θ 45° S-E

• 2.6 cm aprox

• 30.7 cm aprox

• 17.5 cm aprox

• 10.4 cm aprox