Aspire's Library
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
A ball is thrown upwards from the plane surface of the ground.
Suppose the plane surface from which the ball is thrown consists of the points
$A(1,0,2),\; B(3,-1,1)$ and $C(1,2,1)$ on it.
The highest point of the ball takes is $D(2,3,1)$ as shown in the figure.
Using this information answer the question.
Solution
Points
$A(1,0,2)$
$B(3,-1,1)$
$C(1,2,1)$
Direction vectors
$\vec{AB}=(3-1,-1-0,1-2)=(2,-1,-1)$
$\vec{AC}=(1-1,2-0,1-2)=(0,2,-1)$
Normal vector of plane
$\vec{n}=\vec{AB}\times\vec{AC}$
$\vec{n}=
\begin{vmatrix}
\mathbf{i} & \mathbf{j} & \mathbf{k}\\
2 & -1 & -1\\
0 & 2 & -1
\end{vmatrix}$
$=3\mathbf{i}+2\mathbf{j}+4\mathbf{k}$
So normal vector
$(3,2,4)$
Equation of plane
$3(x-1)+2(y-0)+4(z-2)=0$
$3x+2y+4z-11=0$
$3x+2y+4z=11$
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Ask Your Question or Put Your Review.
