NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.3

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NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra Exercise 10.3 is covered in this article with a detailed explanation. Chapter 10 Vector Algebra Exercise 10.1 covers basic concepts of the product of two vectors, multiplication of vector by a scalar, and projection of a vector on a line.

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Class 12 Chapter 10 Vector Algebra Topics:

CBSE Class 12 Mathematics Study Guides:

CBSE CLASS XII Related Questions

  • 1.
    Find the value of λ, if the points A(−1,−1,2), B(2,8,λ), C(3,11,6) are collinear.


      • 2.
        Find: \[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) dx. \]


          • 3.
            If \( \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \), then prove that \( \frac{dy}{dx} = \frac{\sqrt{1 - y^2}}{\sqrt{1 - x^2}} \).


              • 4.
                Find the general solution of the differential equation \[ x^2 \frac{dy}{dx} = x^2 + xy + y^2 \] OR


                  • 5.
                    The probability that a student buys a colouring book is 0.7, and a box of colours is 0.2. The probability that she buys a colouring book, given that she buys a box of colours, is 0.3. Find:
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                    (ii) The probability that she buys a box of colours given she buys the colouring book.


                      • 6.

                        An amount of ₹ 10,000 is put into three investments at the rate of 10%, 12% and 15% per annum. The combined annual income of all three investments is ₹ 1,310, however, the combined annual income of the first and second investments is ₹ 190 short of the income from the third. Use matrix method and find the investment amount in each at the beginning of the year.

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