Classify the following as scalar and vector quantities. (i)Time period (ii)Distance (iii)Force (iv)Velocity (v)Work done
(i)Time period is a scalar quantity as it involves only magnitude.
(ii)Distance is a scalar quantity as it involves only magnitude.
(iii)Force uis a vector quantity as it involves both magnitude and direction.
(iv)Velocity is a vector quantity as it involves both magnitude as well as direction.
(v)Work done is a scalar quantity as it involves only magnitude.
If \( X \) is a random variable such that \( P(X = -2) = P(X = -1) = P(X = 2) = P(X = 1) = \frac{1}{6} \), and \( P(X = 0) = \frac{1}{3} \), then the mean of \( X \) is
List-I | List-II |
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(A) 4î − 2ĵ − 4k̂ | (I) A vector perpendicular to both î + 2ĵ + k̂ and 2î + 2ĵ + 3k̂ |
(B) 4î − 4ĵ + 2k̂ | (II) Direction ratios are −2, 1, 2 |
(C) 2î − 4ĵ + 4k̂ | (III) Angle with the vector î − 2ĵ − k̂ is cos⁻¹(1/√6) |
(D) 4î − ĵ − 2k̂ | (IV) Dot product with −2î + ĵ + 3k̂ is 10 |
In general, vectors are used in Maths and Science and are categorized into 10 different types of vectors such as:-