Home work sheet about vectors analysis( Line Equations) Q1 Choose the correct answers: A- The vector perpendicular to the tow vectors V=<3, 2, 4> and u= < -2, 0, 2> is a: 4i-14j +4k, b: <3, 2, 5>, answers. c=<4, 6, 7, >, e: none of these B- The angle between the vectors : V= 3 + 4k, and the vector u=2i -7j +k is a: 45°, b:76°, c:84, d:65° C- The equation of the line parallel to the line: x-2 y + 1 = 3 2 Ꮓ = 1 And passes through the point p (2, 0, 1): a: = 3 x-2-2-2-15 x-3 = b: 2 e: none of these. = y-2 1 z+1 x+2 = 3-2 = 2+1 2 1 1 D-The symmetric equation of the line passes through the points: P₁(3, 5. 2), P2(0,4 1) x-3 y-5 z-2 x-3 y-1 z-1 a: = = -3 , −1 -1 -3 = , 5 2 c: x=3-3t, y=1-5t, z=1-2t, d:none of these. E- The two lines: 1 ×-1-3-2-2-1 and ↳₂ ×-1 - 1-3 = L1 4 = 4 8 8 8 a: parallel lines, b: intersected lines, d:skeines. z-1 are 16

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 8E
Question
Home work sheet about vectors analysis( Line Equations)
Q1 Choose the correct answers:
A- The vector perpendicular to the tow vectors
V=<3, 2, 4> and u= < -2, 0, 2> is
a: 4i-14j +4k, b: <3, 2, 5>,
answers.
c=<4, 6, 7, >,
e: none of these
B- The angle between the vectors :
V= 3 + 4k, and the vector u=2i -7j +k is
a: 45°, b:76°, c:84, d:65°
C- The equation of the line parallel to the line:
x-2 y + 1
=
3
2
Ꮓ
=
1
And passes through the point p (2, 0, 1):
a:
=
3
x-2-2-2-15
x-3
=
b:
2
e: none of these.
=
y-2
1
z+1
x+2 = 3-2 = 2+1
2
1
1
D-The symmetric equation of the line passes through the points:
P₁(3, 5. 2), P2(0,4 1)
x-3 y-5 z-2
x-3 y-1 z-1
a:
=
=
-3
,
−1
-1
-3
=
,
5
2
c: x=3-3t, y=1-5t, z=1-2t, d:none of these.
E- The two lines:
1 ×-1-3-2-2-1 and ↳₂ ×-1 - 1-3 =
L1
4
=
4
8
8
8
a: parallel lines, b: intersected lines, d:skeines.
z-1
are
16
Transcribed Image Text:Home work sheet about vectors analysis( Line Equations) Q1 Choose the correct answers: A- The vector perpendicular to the tow vectors V=<3, 2, 4> and u= < -2, 0, 2> is a: 4i-14j +4k, b: <3, 2, 5>, answers. c=<4, 6, 7, >, e: none of these B- The angle between the vectors : V= 3 + 4k, and the vector u=2i -7j +k is a: 45°, b:76°, c:84, d:65° C- The equation of the line parallel to the line: x-2 y + 1 = 3 2 Ꮓ = 1 And passes through the point p (2, 0, 1): a: = 3 x-2-2-2-15 x-3 = b: 2 e: none of these. = y-2 1 z+1 x+2 = 3-2 = 2+1 2 1 1 D-The symmetric equation of the line passes through the points: P₁(3, 5. 2), P2(0,4 1) x-3 y-5 z-2 x-3 y-1 z-1 a: = = -3 , −1 -1 -3 = , 5 2 c: x=3-3t, y=1-5t, z=1-2t, d:none of these. E- The two lines: 1 ×-1-3-2-2-1 and ↳₂ ×-1 - 1-3 = L1 4 = 4 8 8 8 a: parallel lines, b: intersected lines, d:skeines. z-1 are 16
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