Vectors: Magnitude and Direction

Which statement describes a vector?

• It has magnitude but no direction
• It has direction but no magnitude
• It has both direction and magnitude
• It has constant magnitude but no
   direction

Tags

CCSS.HSN.VM.A.1

Find the magnitude of a vector using ...

• Sine & Cosine

• Inverse Tangent

• Square root of Pythagorean Theorem

• Multiplication

Find the direction angle of a vector using ...

• Sine & Cosine

• Inverse Tangent

• Square root of Pythagorean Theorem

• none of these

Determine the magnitude of the vector 8i -2j

• 2√3

• 2√17

• 2√15

• 2√5

Determine the direction and magnitude of the vector 7i + 18j

• Direction 21.3° Magnitude 19.3

• Direction 68.7° Magnitude 19.3

• Direction 21.3° Magnitude 373

• Direction 68.7° Magnitude 373

Find the magnitude of the vector -2i + 3j.

• 3.32

• 13

• 2.24

• 3.61

Find the direction angle of the vector -3i -5j

• 59°

• 239°

• 31°

• 211°

Find the magnitude of the vector 10i -8j

• 2

• 12.8

• 6

• 2.8

Find the direction angle for the vector -8i + 3j

• 20.56°

• 200.56°

• 69.4°

• 249.44°

• 339.44