QS025 Tugasan Vector
Transcript of QS025 Tugasan Vector
-
8/19/2019 QS025 Tugasan Vector
1/3
VECTOR
1. Given jick jibk jia 2,,2 . Find
(a) a vector that perpendicular to both a and b
(b) cba .)(
[7 marks]
2. Given k jir k jiqk ji p 1530,23,5510 . Find
(a)
, if p and q are perpendicular .(b) , if p and q are parallel
[7 marks]
-
8/19/2019 QS025 Tugasan Vector
2/3
3. A plane1 passes through three points P (1, -3, 2) , Q(2, -3, 1) and R(3 , -2 , 9)
(a) Find an equation of the plane.
(b) Calculate the acute angle between the plane1 and the plane 2 : 2123 z y x
[10 marks]
4. The vector equation of a straight line M is given by )4(2 k ji sk ir . The point
Q(3 , , ) lies on the straight line M .
(a) Determine the values of and .
(b)
A plane passes through the point Q and perpendicular to the vector k ji 2 .Find a vector and Cartesian equation of the plane .
(c) The straight line M intersects the plane 1782 z y x at point H . Find the
coordinate of H.
[13 marks]
-
8/19/2019 QS025 Tugasan Vector
3/3
5. The parametric equation of 2 straight lines are given by
t z t yt xl 21,24,3:1
s z s y s xl 4,3,1:2
(a)
Show that the point (2, -6, 1) lies on both the straight lines.(b) Find the Cartesian equation of plane containing this 2 lines.
(c) Calculate the acute angle between the plane described in (b) and the plane
1355 z y x
[13 marks]