Precalc Final Exam (Semester II B)

Write the complex number in rectangular form. 3(cos π + i sin π)

• -3i

• 3

• -3

• 3i

Tags

CCSS.HSN.CN.B.4

Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.

• A = 56°, B = 83°, C = 41°

• A = 41°, B = 83°, C = 56°

• A = 41°, B = 56°, C = 83°

• A = 56°, B = 41°, C = 83°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the specified vector or scalar. u = -9i - 2j, v = 11i + 7j; Find u - v.

• -20i - 9j

• -22i + 5j

• -21i + 5j

• 2i + 5j

Tags

CCSS.HSN-VM.B.4C

Find the area of the triangle having the given measurements. Round to the nearest square unit. A = 29°, b = 15 meters, c = 5 meters

• 18 square meters

• 9 square meters

• 38 square meters

• 36 square meters

Tags

CCSS.HSG.SRT.D.9

Write the vector v in terms of i and j whose magnitude |v| = 8 and direction angle θ = 30°.

• v = 4√2i + 4√2j

• v = 4√3i + 4j

• v = -4√3i + 4j

• v = 4i + 4√3j

Tags

CCSS.HSN.VM.A.2

Find the magnitude ‖w‖ and direction angle θ, to the nearest tenth of a degree, for the given vector v. v = -4i - 3j

• 5; 36.9°

• 7; 216.9°

• 5; 216.9°

• 5; 233.1°

Tags

CCSS.HSN.VM.A.1

Find the unit vector that has the same direction as the vector v. v = -12i + 5j

• u = -156i + 65j/√193

• u = -13/12i + 13/5j

• u = -5/13i + 12/13j

• u = -12/13i + 5/13j

Tags

CCSS.HSN.VM.A.1

Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v = 3i - j, w = 6i - 2j

• parallel

• orthogonal

• neither

Use the given vectors to find the specified scalar. u = 15i + 4j and v = -11i - 8j; Find u · v.

• -133

• -197

• -32

• -165

Find the angle between the given vectors. Round to the nearest tenth of a degree. u = i - j, v = 4i + 6j

• 101.3°

• -11.3°

• 106.1°

• 11.3°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

CCSS.HSN.VM.A.1