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

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Jasmine Grover

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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:

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CBSE CLASS XII Related Questions

  • 1.

    An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.  
    Based on the above information, answer the following questions :


      • 2.
        Differentiate \( \tan^{-1}\left( \frac{\sqrt{1 + x^2} + \sqrt{1 - x^2}}{\sqrt{1 + x^2} - \sqrt{1 - x^2}} \right) \) with respect to \( \cos^{-1}(x^2) \).


          • 3.
            If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).


              • 4.
                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 \(q\).

                  • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
                  • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
                  • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
                  • \(p = 0, \, q = 0\)

                • 5.
                  Find:

                  If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

                    • \(0\)
                    • \(-2\)
                    • \(-1\)
                    • \(2\)

                  • 6.
                    Find:

                    The shortest distance between the lines: \[ \vec{r}=(4+\lambda)\hat{i}+(2\lambda-1)\hat{j}-3\lambda\hat{k} \] and \[ \vec{r}=(1+2\mu)\hat{i}+(4\mu-1)\hat{j}+(2-5\mu)\hat{k} \]

                      CBSE CLASS XII Previous Year Papers

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