NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.1

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NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.1 is covered in this article with a detailed explanation. Chapter 10 Vector Algebra Exercise 10.1 covers basic concepts of the position vector, types of vectors, and direction cosines.

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Check out other exercise solutions of Class 12 Maths Chapter 10 Vector Algebra

Class 12 Chapter 10 Vector Algebra Topics:

Addition of vectors	Properties of vector addition	Laws of Vector Addition
Negative of a vector	Vector Projection Formula	Vector Formula
Triangle law of vector addition	Direction of a vector	Components of vector
Vector Space	Vector Calculus	Multiplication of vector with scalar

CBSE Class 12 Mathematics Study Guides:

NCERT Solutions for Class 12 Maths	Math Study Notes	Difference between in Maths
Math Formula	Arithmetic	Math MCQs
Calculus	Trigonometry	Mensuration

CBSE CLASS XII Related Questions

1.
If \[ \begin{bmatrix} 4 + x & x - 1 \\ -2 & 3 \end{bmatrix} \] is a singular matrix, then the value of $ x $ is:

0
1
-2
-4

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2.
Let $ 2x + 5y - 1 = 0 $ and $ 3x + 2y - 7 = 0 $ represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.

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3.
If $ \mathbf{a} $ and $ \mathbf{b} $ are position vectors of two points $ P $ and $ Q $ respectively, then find the position vector of a point $ R $ in $ QP $ produced such that \[ QR = \frac{3}{2} QP. \]

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4.
The integrating factor of the differential equation $ (x + 2y^3) \frac{dy}{dx} = 2y $ is:

$ e^{y^2} $
$ \frac{1}{\sqrt{y}} $
$ e^{-\frac{1}{y^2}} $
$ e^{y^2} $

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5.
Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$

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6.
A coin is tossed twice. Let $X$ be a random variable defined as the number of heads minus the number of tails. Obtain the probability distribution of $X$ and also find its mean.

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NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.1

CBSE CLASS XII Related Questions

1.
If \[ \begin{bmatrix} 4 + x & x - 1 \\ -2 & 3 \end{bmatrix} \] is a singular matrix, then the value of \( x \) is:

2.
Let \( 2x + 5y - 1 = 0 \) and \( 3x + 2y - 7 = 0 \) represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.

3.
If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]

4.
The integrating factor of the differential equation \( (x + 2y^3) \frac{dy}{dx} = 2y \) is:

5.
Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$

6.
A coin is tossed twice. Let $X$ be a random variable defined as the number of heads minus the number of tails. Obtain the probability distribution of $X$ and also find its mean.

Similar Mathematics Concepts

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NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.1

CBSE CLASS XII Related Questions

1.If \[ \begin{bmatrix} 4 + x & x - 1 \\ -2 & 3 \end{bmatrix} \] is a singular matrix, then the value of \( x \) is:

2.Let \( 2x + 5y - 1 = 0 \) and \( 3x + 2y - 7 = 0 \) represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.

3.If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]

4.The integrating factor of the differential equation \( (x + 2y^3) \frac{dy}{dx} = 2y \) is:

5.Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$

6.A coin is tossed twice. Let $X$ be a random variable defined as the number of heads minus the number of tails. Obtain the probability distribution of $X$ and also find its mean.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If \[ \begin{bmatrix} 4 + x & x - 1 \\ -2 & 3 \end{bmatrix} \] is a singular matrix, then the value of \( x \) is:

2.
Let \( 2x + 5y - 1 = 0 \) and \( 3x + 2y - 7 = 0 \) represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.

3.
If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]

4.
The integrating factor of the differential equation \( (x + 2y^3) \frac{dy}{dx} = 2y \) is:

5.
Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$

6.
A coin is tossed twice. Let $X$ be a random variable defined as the number of heads minus the number of tails. Obtain the probability distribution of $X$ and also find its mean.