6.4 Vector Dot Product and more by RHO

16

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

10

Find (u · v)(u · w) if u = ⟨4,3⟩, v = ⟨1,-3⟩ and w = ⟨-2,2⟩.

44

Find the angle between the vectors (round to the nearest degree): u=-7i - 4j v = -8i + 2j

159

Find the angle between the vectors (round to the nearest degree): u=7i - 2j v = -8i + 6j

49

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

41

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

63

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

-10/3

Find the value of k such that the vectors u and v are orthogonal: u = -3ki + 5j v = 2i - 4j

4

Find the value of k such that the vectors u and v are orthogonal: u = 8i + 4j v = 2i - kj

-16

Find u · v if u = -3i + j and v = 5i - j.

-23

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

73

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

8

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

56

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

24

Find u· v, where θ is the angle between u and v: ||u|| = 4 ||v|| = 12 θ = π/3

-8

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

⟨20, -20⟩

If A(6, 11) and B(-14, 31), find components for vector BA

⟨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.

⟨17, 15⟩

If u= ⟨20, 1⟩ and v = ⟨-3, 14⟩, find u + v.

⟨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.

orthogonal

Parallel, orthogonal or neither? u= 2i - 2j and v= -i - j

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>