Indian Navy SSR Vectors — practice questions

Explore 4 free Vectors questions in Indian Navy SSR 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 →Vector $\vec{AB} = 2\hat i - 4\hat j + 7\hat k$ has initial point $A(1, 5, 0)$. The terminal point $B$ has coordinates: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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Vector $\vec{AB} = 2\hat i - 4\hat j + 7\hat k$ has initial point $A(1, 5, 0)$. The terminal point $B$ has coordinates:

$(3, 1, 7)$
$(-1, 9, -7)$
$(2, -4, 7)$
$(3, -4, 7)$

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Correct answer: A. $(3, 1, 7)$

$\vec{AB} = \vec b - \vec a$ ⇒ $\vec b = \vec a + \vec{AB} = (1+2)\hat i + (5-4)\hat j + (0+7)\hat k = 3\hat i + \hat j + 7\hat k$, i.e. $B = (3, 1, 7)$.

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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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