In each part, find the vector component of v along b and the vector component of v orthogonal to b. Then sketch the vectors v , proj b v , and v − proj b v . a v = 2 i − j , b = 3 i + 4 j b v = 4 , 5 , b = 1 , − 2 c v = − 3 i − 2 j , b = 2 i + j
In each part, find the vector component of v along b and the vector component of v orthogonal to b. Then sketch the vectors v , proj b v , and v − proj b v . a v = 2 i − j , b = 3 i + 4 j b v = 4 , 5 , b = 1 , − 2 c v = − 3 i − 2 j , b = 2 i + j
In each part, find the vector component of v along b and the vector component of v orthogonal to b. Then sketch the vectors
v
,
proj
b
v
,
and
v
−
proj
b
v
.
a
v
=
2
i
−
j
,
b
=
3
i
+
4
j
b
v
=
4
,
5
,
b
=
1
,
−
2
c
v
=
−
3
i
−
2
j
,
b
=
2
i
+
j
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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