Indian Navy 10+2 B.Tech Cadet Vectors — practice questions

Explore 4 free Vectors questions in Indian Navy 10+2 B.Tech Cadet Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Vectors questions and exercises with answers

Showing questions 1–4 of 4.

The magnitude of the zero (null) vector $\vec 0$ is:Read the answer and worked solution →The position vector of the **midpoint** of the segment joining points with position vectors $\vec a$ and $\vec b$ is:Read the answer and worked solution →Match each vector termRead the answer and worked solution →Scalar or vector result?Read the answer and worked solution →

Worked practice questions

The magnitude of the zero (null) vector $\vec 0$ is:

1
Undefined
0
Any positive real number

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Correct answer: C. 0

A zero vector is a vector whose initial and terminal points coincide, so $|\vec 0| = 0$. Its direction can be taken as anything convenient.

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The position vector of the midpoint of the segment joining points with position vectors $\vec a$ and $\vec b$ is:

$(\vec a + \vec b)/2$
$(\vec a - \vec b)/2$
$\vec a \cdot \vec b$
$|\vec a| + |\vec b|$

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Correct answer: A. $(\vec a + \vec b)/2$

Midpoint formula: set m = n = 1 in the section formula to get $\vec r = (\vec a + \vec b)/2$.

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Match each vector term

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Matching pairs

Left
Zero vector
Right
Initial and terminal points coincide
Left
Unit vector
Right
A vector whose magnitude is exactly 1
Left
Collinear
Right
Vectors parallel to the same line
Left
Scalar product
Right
A product of two vectors giving a number

Instructions

Tap a term on the left, then tap what it means.

_Source: syllabus Maths Ch10 Vector Algebra, Chapter 10_

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