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.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

\(0.35\)
\(0.85\)
\(0.5\)
\(0.21\)

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2.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

\( \log \cos 2x + C \)
\( \sec^{2} 2x + C \)
\( e^{x}\tan x + C \)
\( e^{x}\cot x + C \)

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3.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

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4.
Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

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5.
Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

\( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
\( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
\( \frac{2\sqrt{\cos x}}{\sin x} \)
\( \frac{1}{\sin x\sqrt{\cos x}} \)

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6.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

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

CBSE CLASS XII Related Questions

1.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

2.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

3.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

4.
Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

5.
Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

6.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

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.If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

2.\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

3.Evaluate :\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

4.Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

5.Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

6.If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

2.
\( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

3.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

4.
Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).

5.
Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

6.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]