When vectors A and B are added together they form vector C and these vectors satisfy the relationship A2 + B2 = C2. Which statement is true for these vectors?

A) Vectors A and B must be parallel.

B) Vectors A and B must be anti-parallel.

C) Vectors A and B must have the same magnitudes.

D) Vectors A and B must be perpendicular.

E) The magnitude of A is the negative of the magnitude of B.

Vectors M and N satisfy the equation M + N = 0. These vectors satisfy one of the following statements.

A) Vectors M and N are at right angles to each other.

B) Vectors M and N point in the same direction.

C) The magnitude of M is the negative of the magnitude of N.

D) The magnitude of M is twice the magnitude of N.

E) Vectors M and N have the same lengths.

**EXPERT ANSWER **

**Answer :**E) 270°.

**Answer :**E) 360°

When vectors A and B are added together they form vector C and these vectors satisfy the relationship A2 + B2 = C2. Which statement is true for these vectors?

A) Vectors A and B must be parallel.

B) Vectors A and B must be anti-parallel.

C) Vectors A and B must have the same magnitudes.

D) Vectors A and B must be perpendicular.

E) The magnitude of A is the negative of the magnitude of B.

**Answer :**D) Vectors A and B must be perpendicular.

Vectors M and N satisfy the equation M + N = 0. These vectors satisfy one of the following statements.

A) Vectors M and N are at right angles to each other.

B) Vectors M and N point in the same direction.

C) The magnitude of M is the negative of the magnitude of N.

D) The magnitude of M is twice the magnitude of N.

E) Vectors M and N have the same lengths.

**Answer :**E) Vectors M and N have the same lengths.

**Answer : **A) 8.0 m