NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.2

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NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.2 is covered in this article with a detailed explanation. Chapter 10 Vector Algebra Exercise 10.2 covers basic concepts of addition of vectors, property of vector addition, and multiplication of a vector by a scalar.

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Class 12 Chapter 10 Vector Algebra Topics:

Types of vectors	Vector Calculus	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	Cross product	Vector Calculus

CBSE Class 12 Mathematics Study Guides:

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

CBSE CLASS XII Related Questions

1.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

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2.
Find the vector and cartesian equations of the line passing through the point of intersection of the lines $ \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) $ and $ \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) $ and parallel to the line $ \frac{x - 1}{-2} = \frac{7 - y}{-3} = z $.

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3.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

Reflexive only
Reflexive and Transitive
Symmetric and Transitive
Symmetric only

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4.
Which of the following equations is NOT a Linear Differential Equation?

$(1 + x^2) \, dy + 2xy \, dx = \cot x \, dx$
$y + \frac{d}{dx}(xy) = x(\sin x + \log x)$
$x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0$
$y \, dx - (x + 3y^2) \, dy = 0$

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5.
Using integration, find the area of the region bounded by the curve $ y = x|x| $, the x-axis, and the vertical lines $ x = -2 $ and $ x = 2 $.

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6.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of $p$ and $q$.

$p = -\frac{2}{3}, \, q = \frac{5}{3}$
$p = -\frac{8}{3}, \, q = \frac{20}{3}$
$p = \frac{20}{3}, \, q = -\frac{8}{3}$
$p = 0, \, q = 0$

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NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.2

CBSE CLASS XII Related Questions

1.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

3.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

4.
Which of the following equations is NOT a Linear Differential Equation?

5.
Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).

6.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

Similar Mathematics Concepts

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NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.2

CBSE CLASS XII Related Questions

1.Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

3.A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

4.Which of the following equations is NOT a Linear Differential Equation?

5.Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).

6. Find: If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]

3.
A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

4.
Which of the following equations is NOT a Linear Differential Equation?

5.
Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).

6.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).