Question

Find the angle θ between the vectors (,) and (-2,-4).

Answer #1

1) Find the angle θ between the vectors a=9i−j−4k and
b=2i+j−4k.
2) Find two vectors v1 and v2 whose sum is <-5,
2> where v1 is parallel to <-3 ,0> while v2 is
perpendicular to < -3,0>

Find the angle between the vectors < 1, 2, –2 > and < 4
,0, –3 >.

Let u and v be vectors in 3-space with angle θ between them, 0 ≤
θ ≤ π. Which of the following is the only correct statement?
(a) u × v is parallel to v, and |u × v| = |u||v| cos θ.
(b) u × v is perpendicular to u, and |u × v| = |u||v| cos θ.
(c) u × v is parallel to v, and |u × v| = |u||v|sin θ.
(d) u × v is perpendicular...

Find the angle θ (in radians and degrees) between the
lines. (Let 0 ≤ θ < π/2 and 0 ≤ θ
< 90°. Round your answers to three decimal places.)
0.02x
−
0.05y
=
−0.23
0.01x
+
0.04y
=
0.52

A) Find the angle between the vectors 8i-j + 4k and 4j + 2k
B) Find c so that the vectors 2i-3j + ck and 2i-j + 4k are perpendicular
C) Find the scalar projection and the vector projection of 2i +
4j-4 on 3i-3j + k

Angle θ is an angle in the fourth quadrant and cos(θ)=1/3. Find
tan(θ)?

Find the angle (in degrees please) between vectors B= 5.0i -
3.4j + .9k and C = 2.9i + 6.7j.

Find the angle theta between vectors u=(5,6) and v=(-8,7).
Find a unit vector orthogonal to v.

If X and Y are vectors of magnitude 1 and 2,
respectively, with an angle of 120º between them. Determine I3X +
2YI and the direction of vector 3X + 2Y.
Vectors are 2D

What is the effect on the dot product of two vectors, if the
angle between the two vectors is fixed, but one of the vectors
doubles in length? or triples in length?
two explainations please

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