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1
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
Let $\vec{P} = \hat{i} + \hat{j} + \hat{k}$ and $\vec{Q} = -(\hat{i} + \hat{j} + \hat{k})$. The angle between $(\vec{P} - \vec{Q})$ and $\vec{P}$ is
A
$90^\circ$
B
$60^\circ$
C
$0^\circ$
D
$30^\circ$
2
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+1
-0
Let $\vec{A}$ and $\vec{B}$ are two non-zero vectors of different magnitude. Which one of the following is the correct equation ?
A
$\vec{A} \cdot \vec{B} = -\vec{B} \cdot \vec{A}$
B
$\vec{A} \times \vec{B} = \vec{B} \times \vec{A}$
C
$\vec{A} + \vec{B} = \vec{B} + \vec{A}$
D
$\vec{A} - \vec{B} = \vec{B} - \vec{A}$
3
MHT CET 2026 15th April Morning Shift
MCQ (Single Correct Answer)
+1
-0
A vector $\vec{A}$ when added to the sum of the vectors $(\hat{i} - 2\hat{j} + 2\hat{k})$ and $(-2\hat{i} + \hat{j} - \hat{k})$ gives a unit vector along Y axis. The magnitude of vector $\vec{A}$ is
A
$\sqrt{3}$
B
$\sqrt{6}$
C
$\sqrt{8}$
D
$\sqrt{10}$
4
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two vectors $a \hat{i}+b \hat{j}+\hat{k}$ and $2 \hat{i}-3 \hat{j}+4 \hat{k}$ are perpendicular to each other. When $3 \mathrm{a}+2 \mathrm{~b}=7$, the ratio of $a$ to $b$ is $\frac{x}{2}$. The value of $x$ is

A
zero
B
2
C
1
D
4
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