9.3 Vectors

Find the magnitude of vector v. v = <5, 12>

• ||v|| = 12

• ||v|| = 13

• ||v|| = 14.5

• ||v|| = 15

Tags

CCSS.HSN.VM.A.1

Find the component form of the vector v that initial point P(6, 1) and terminal point Q(3, 8).

• v = <-2, 1>

• v = <3, -7>

• v = <9, 9>

• v = <-3, 7>

Tags

CCSS.HSN.VM.A.2

If P = (-4, 8) and Q = (x, -12), find all numbers x such that the vector represented PQ has length -29.

• x = {17, -25}

• x = {-17, 25}

• x = {16, 24}

• x = {-16, 24}

Tags

CCSS.HSN.VM.A.1

If P = (5, 7) and Q = (x, 42), find all numbers x such that the vector represented PQ has length 37.

• x = {-17, 7}

• x = {17, -7}

• x = {12, 7}

• x = {-7, 12}

Tags

CCSS.HSN.VM.A.1

Find a unit vector having the same distance as v. v = 11i + 60j

• v = (11/61)i + (60/61)j

• v = (11/49)i + (60/49)j

• v = (11/12)i + (60/12)j

• v = (11/65)i + (60/65)j

Find a unit vector having the same distance as v. v = -4i - 3j

• v = (-4/5)i - (3/5)j

• v = (4/5)i + (3/5)j

• v = (-4/25)i - (3/25)j

• v = (4/25)i + (3/25)j

Let u = 10i - 2j and v = 4i - 5j. Find 3u + 2v

• 38i - 16j

• 22i - 4j

• -38i + 16j

• -22i + 4j

Let u = -7i + 3j and v = i - 2j. Find 4u - 9v

• 37i - 30j

• 19i - 6j

• -37i + 30j

• -19i + 6j

Let u = -i - 2j and v = 6i + 5j. Find 8u - v

• -14i - 21j

• 14i - 11j

• 2i + 21j

• -2i - 21j

Find the magnitude of the vector v that has initial point P(2, -6) and terminal point Q(-1, 10)

• ||v|| = 16.3

• ||v|| = 15.7

• ||v|| = -16.3

• ||v|| = -15.7

Tags

CCSS.HSN.VM.A.1