Understanding Vectors and Projectiles

What is the first step in the head-to-tail method of vector addition?

• Draw the first vector and then place the tail of the next vector at the head of the first

• Draw all vectors parallel to each other

• Draw the vectors in any order

• Draw the resultant vector first

How do you calculate the magnitude of a resultant vector using the Pythagorean theorem?

• Use the formula a^2 + b^2 = c^2 where c is the resultant

• Subtract the lengths of the vectors

• Multiply the lengths of all vectors

• Add the lengths of all vectors

Which trigonometric function relates the opposite side to the hypotenuse?

• Cotangent

• Tangent

• Cosine

• Sine

What is the mnemonic used to remember the trigonometric functions?

• SOHCAHTOA

• Pythagorean

• TRIGON

• VECTOR

If a vector points into the second quadrant, how is its direction described?

• Degrees north of east

• Degrees west of north

• Degrees south of west

• Degrees east of south

How do you determine the direction of a vector in the fourth quadrant?

• Degrees south of west

• Degrees north of east

• Degrees west of north

• Degrees east of south

What is the first step in adding three or more right-angle vectors?

• Consolidate vectors into two main directions

• Add all vectors head-to-tail

• Ignore the direction of vectors

• Draw all vectors in a circle

What is the quick trick for simplifying vector addition?

• Use only the largest vector

• Consolidate north-south and east-west vectors separately

• Ignore vectors pointing west

• Add vectors in reverse order

How do you find the direction of a resultant vector using trigonometry?

• Use the inverse cotangent function

• Use the inverse tangent function

• Use the inverse cosine function

• Use the inverse sine function

What is the resultant direction if a vector is 78 degrees west of south?

• 192 degrees counterclockwise from east

• 78 degrees counterclockwise from east

• 102 degrees counterclockwise from east

• 270 degrees counterclockwise from east