Vectors and Complex numbers

A vector is a mathematical structure that has both _______ and _______.

• direction, magnitude
• scope, sequence
• meat, potatoes
• scalar, vector

Find the vector with initial point (2, -5) and terminal point (-3, -7).

• 5i + 2j
• -1i - 2j
• 1i + 2j
• -5i - 2j

Find the vector with initial point (7, 1) and terminal point (9, -8).

• 2i - 7j
• -2i - 9j
• 2i -9j
• 2i + 7j

Find magnitude of vector v= 3i + 4j

• √7
• 7
• 25
• 5

Find magnitude of v= 5i - 8j

• -√13
• √13
• 13
• √89

Find direction angle of v= 4i - 3j

• -36.9°
• 143.1°
• 36.9°
• -143.1°

Find the direction angle of -4i + 7j

• -60.3
• 119.7
• 299.7
• -29.7

Find magnitude and direction of v= 5i + 2j

• |v|= √29, θ= 16.4
• |v|= -√29, θ= 21.8
• |v|= -√29, θ= 16.4
• |v|= √29, θ= 21.8

u= 3i+ 9j, v= 2i + 7j. Find 3v

• 6i + 21j
• 5i + 16j
• 6i + 18j
• 1i + 2j

u= 3i+ 9j, v= 2i + 7j. Find u + v

• 6i + 21j
• 5i + 16j
• 6i + 18j
• 1i + 2j