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.
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
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 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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