1
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The volume of the parallelopiped whose coterminous edges are $2\hat{i} + \hat{j} - \hat{k}, 3\hat{i} - \hat{j} - \hat{k}, \hat{j} + 3\hat{k}$ is
A
$16$ cu. units
B
$6$ cu. units
C
$2$ cu. units
D
$12$ cu. units
2
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
Given the following expression
A) $(\vec{a} \times \vec{b}) \cdot \vec{c}$
B) $\vec{a} \times (\vec{b} \cdot \vec{c})$
C) $\vec{a} \cdot (\vec{b} \cdot \vec{c})$
D) $|\vec{a}|(\vec{b} \cdot \vec{c})$
E) $(\vec{a} \cdot \vec{b}) \times (\vec{b} \cdot \vec{c})$
Then which of the following is not correct
A
B and E are meaningful
B
A and D are meaningful
C
B, C and E are meaningless
D
A is meaningful but B is meaningless
3
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If the perpendicular distance of the plane passing through the point $Q(1, 0, -1)$ and containing the line $\vec{r} = (\hat{i} - 3\hat{j} + \hat{k}) + \lambda(2\hat{i} - 2\hat{j} + \hat{k})$ from origin is $\dfrac{p}{\sqrt{53}}$ then $p = $ ...
A
$4$
B
$1$
C
$5$
D
$9$
4
MHT CET 2026 20th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If the line joining points $(2, 1, 4)$ and $(a - 1, 4, -1)$ is parallel to the line joining points $(0, 2, b - 1)$ and $(5, 3, -2)$ then the values of $b$ and $a$ are respectively
A
$18, \dfrac{2}{3}$
B
$\dfrac{3}{2}, 18$
C
$\dfrac{2}{3}, 18$
D
$-\dfrac{2}{3}, 18$

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