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Worksheets9.3 Vectors
Total questions: 10
Worksheet time: 3hrs 30mins
Find the magnitude of vector v. v = <5, 12>
||v|| = 12
||v|| = 13
||v|| = 14.5
||v|| = 15
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>
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}
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}
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
