Vector Practice--Dot Product and Addition

16

Find 2u · v if u = ⟨4,0⟩ and v = ⟨2,1⟩.

27°

Find the angle between the vectors: u=-6i-5j v=-3i-7j

178.6°

Find the angle between the vectors: u=7i-8j v=-5i+6j

63.4°

Find the angle between the vectors: u=<7,4> v=<9,-6>

49

Find the angle in between the 2 vectors - round to the nearest whole number. u=<-1, 8> and v=<-3,2>

-23

Find u · v if u = 2i - 5j and v = 6i + 7j.

73

Find u · v if u = ⟨4, 25⟩ and v = ⟨-13, 5⟩.

56

Find u · v if u = ⟨8, 2⟩ and v = ⟨6, 4⟩.

-8

Find w · v if v = ⟨1,-3⟩ and w = ⟨-2,2⟩.

⟨10, -5⟩

If A(8, -3) and B(18,-8), find components for vector AB.

⟨-6, 10⟩

If u= ⟨0, 8⟩ and v = ⟨-3, 1⟩, find u + 2v.

⟨9, 8⟩

If u= ⟨20, 6⟩ and v = ⟨-3, 15⟩, find (1/2)u + (1/3)v.

⟨7, -6⟩

If u= ⟨5, -1⟩ and v = ⟨3, 4⟩, find 2u - v.

neither

Parallel, orthogonal or neither? u=<-2, 2/3> and v=<5, -15>

parallel

Parallel, orthogonal or neither? u=<1/3, 5> and v=<-3, -45>

parallel

Use the dot product to determine whether the vectors are parallel, orthogonal, or neither v=4i-j,w=8i-2j

parallel

Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v=2i+3j, w=4i+6j

neither

Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v=<1, 2> w=<1,-4>

orthogonal

Use the dot product to determine whether the vectors are parallel, orthogonal, or neither. v=<4,1> w=<1,-4>

-131

u = <-4, -15> v=<14,5> Findu·v.

-55

u=3i-7j v=-10i+9j w=8i-2j Findu·(v+w).

-300

u=4i-8j v=9i-8j Find (-3u) ∙ v.

56

u=8i+4jand v=9i-4j; Findu·v.

80

v=4i-8j; Findv·v.