MCQ
A rectangular parallelopiped is formed by planes drawn through the point (5, 7, 9) and (2, 3, 7) parallel to the coordinate planes. The length of an edge of this rectangular parallelopiped is:
- A2
- B3
- C4
- ✓all of these
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$(A)$ $|\overrightarrow{ a }+\lambda \overrightarrow{ c }| \geq|\overrightarrow{ a }|$ for all $\lambda \in R$.
$(B)$ $\overrightarrow{ a }$ and $\overrightarrow{ c }$ are always parallel
$3 x-y-z $$ =0 $, $-3 x+z $$ =0 $, $-3 x+2 y+z $$ =0 .$
Then the number of such points for which $x^2+y^2+z^2 \leq 100$ is
Given below are two statements:
Statement I: $f(-x)$ is the inverse of the matrix $f(x)$.
Statement II: $f(x) f(y)=f(x+y)$.
In the light of the above statements, choose the correct answer from the options given below