Question

10. Find the angle between the vectors, to the nearest degree.

1. a =< 6, −7 > and b =< −4, −2 >

2. a = 6i+ 2j and b = −4i + 8j

Answer #1

For what values of is the angle between the vectors i+2j-2k and
4i+cj-3k equal to 48 degrees?

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

Find the angle between the planes 15x−25y+z=−18 and
9x+3y+19z=−6. Round to the nearest degree, and do not include the
degree symbol in your answer.
Find the parametric equations for the line segment between the
points P(−3,5,9) and Q=(4,−7,2) so that the line segment extends
from P at t=0 to Q at t=1. Enter the three coordinate equations in
the form x=f(t), y=g(t), z=h(t).
Find an equation of the sphere that has center C(2,4,5) and is
tangent to the xy-plane.
Find...

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

Calculate the acute angle, rounded to the nearest degree, formed
by
(a) the lineX=3?−1, Y=9−9?, Z=−3−4? and the line X=9, Y=−6−6?,
Z=−8−7? Answer: 30
(b) The line ?⃗ =〈−4,4,7〉+?〈2,−2,6〉 and the line ?⃗
=〈−3,4,−4〉+?〈−2,−8,−4〉 Answer:
(c)The plane −4?−?+8?=22 and the plane 8?+2?+4?=−28 Answer:
d) The line ?⃗ =〈7,−8,−1〉+?〈0,8,−5〉 and the plane 3?+7?+7?=4
Answer:
a is correct would you please do b c and d
calculate the angle formed between the lines

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>

Q1:(10 pts) Assume ? = ? + ??, then find a complex number ?
satisfying the given equation. a. z − 2 z̅ + 7 − 6i = 0 b. z 1+z̅ =
3 + 4i c. 2? + ?̅= 2−? 1+3? d. 2? 8 − 2? 4 + 1 = 0

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

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

1) Consider two vectors A=[20, 4, -6] and B=[8, -2, 6].
a) compute their dot product A.B
b) Compute the angle between the two vectors.
c)Find length and sign of component of A over B (mean Comp A
over B)and draw its diagram.
d) Compute Vector projection of B over A (means Proj B over A)
and draw corresponding diagram.
e) Compute Orthogonal projection of A onto B.

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