Express the vector v as the sum of a vector parallel to b and a vector orthogonal to b. a v = − 3 , 5 , b = 1 , 1 b v = − 2 , 1 , 6 , b = 0 , − 2 , 1 c v = 1 , 4 , 1 , b = 3 , − 2 , 5
Express the vector v as the sum of a vector parallel to b and a vector orthogonal to b. a v = − 3 , 5 , b = 1 , 1 b v = − 2 , 1 , 6 , b = 0 , − 2 , 1 c v = 1 , 4 , 1 , b = 3 , − 2 , 5
Express the vector v as the sum of a vector parallel to b and a vector orthogonal to b.
a
v
=
−
3
,
5
,
b
=
1
,
1
b
v
=
−
2
,
1
,
6
,
b
=
0
,
−
2
,
1
c
v
=
1
,
4
,
1
,
b
=
3
,
−
2
,
5
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.
Find two vectors v1 and v2 whose sum is (-5, -5, 5), where v1 is parallel to a =(0, –1, – 2) while v2 is perpendicular to
a =(0, –1, –2).
v1 =
and
v2 =
Use "" signes to enteer a vector.
Express à = (3, 1, – 1) as B + Č, where B is parallel to the vector (1, 4, 2) and Č is perpendicular
to the vector (1,4, 2).
%3D
Express the vector p = (-6,15,-3) as linear combination of the vectors u = (1,-1,3), v = (2,-5,0) and w = (-2,4,-3).
Precalculus: Mathematics for Calculus (Standalone Book)
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