JEE MATHEMATICS MCQ: 3D GEOMETRY SYSTEM

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Application +4 | -1

Let

A(2,3,5)

and

C(-3,4,-2)

be opposite vertices of a parallelogram

A B C D

. If the diagonal

\overrightarrow{B D}=\hat{i}+2 \hat{j}+3 \hat{k}

, then the area of the parallelogram is equal to:

View answer and explanation

Correct option: B

\frac{1}{2} \sqrt{474}

The correct answer is B (

\frac{1}{2} \sqrt{474}

) because it is the area of the parallelogram calculated using the cross product of its diagonals.

More Questions from 3D GEOMETRY SYSTEM

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\left( { - 10,\;8} \right)

\left( { - 6,\;12} \right)

\left( {4,\; - 2} \right)

\left( { - 2,\;4} \right)

y z

(1,-2,4)

(3,-4

5)

p

2 x+y-3=0

3 x-y-2=0

x-p y+5=0

O\left( {0,0} \right),A\left( {a,0} \right)

B\left( {0,a} \right).

A(1,0,3)

B(4,7,1)

C(3,5,3)

\frac{x}{1}=\frac{y}{2}=\frac{z}{3}, \frac{x}{2}=\frac{y}{1}=\frac{z}{3}

\frac{x-1}{1}=\frac{2-y}{2}, z=3