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Which of the following entities have taken steps to create awareness about reproduction-related aspects using audio-visual and print media?
With the help of audio-visual and the print-media governmental and non-governmental agencies have taken various steps to create awareness among the people about reproduction-related aspects.
The broad perspective of reproductive health, beyond just healthy reproductive organs, includes:
The term simply refers to healthy reproductive organs with normal functions. However, it has a broader perspective and includes the emotional and social aspects of reproduction also.
What is the primary objective of the 'Reproductive and Child Health Care (RCH) programmes'?
Creating awareness among people about various reproduction related aspects and providing facilities and support for building up a reproductively healthy society are the major tasks under these programmes.
Which of the following statements about a unit vector is INCORRECT?
As per the NCERT text, 'A unit vector is a vector of unit magnitude and points in a particular direction. It has no dimension and unit. It is used to specify a direction only.' If a unit vector $\hat{n}$ is multiplied by a positive scalar $\lambda$, the result is $\lambda\hat{n}$. While the magnitude changes to $\lambda$, the direction remains the same as the original unit vector. So the unit vector itself, representing direction, does not change, only the resulting vector does. Statement 4 is incorrect because the unit vector itself (its direction) does not change when multiplied by a scalar, only the magnitude of the resulting vector changes.
A vector $\vec{A}$ lies in the x-y plane. If its x-component is $A_x$ and y-component is $A_y$, then $\vec{A}$ can be expressed as:
According to equation (3.12) in the NCERT text, 'Thus, $\vec{A} = A_x \hat{i} + A_y \hat{j}$'. This represents the resolution of a vector into its component vectors along the unit vectors $\hat{i}$ (x-axis) and $\hat{j}$ (y-axis).
If $\vec{A}$ is a vector and $\hat{n}$ is a unit vector along the direction of $\vec{A}$, which of the following relations is correct?
From the summary point 9 in the NCERT text, 'A unit vector associated with a vector A has magnitude 1 and is along the vector A: $\hat{n} = \frac{\vec{A}}{|A|}$'.
Unit vectors $\hat{i}$, $\hat{j}$, and $\hat{k}$ are used to denote directions along the rectangular coordinate axes. Which of the following defines their magnitudes correctly?
As stated in equation (3.9) of the NCERT text, 'Since these are unit vectors, we have $|\hat{i}| = |\hat{j}| = |\hat{k}| = 1$.' A unit vector, by definition, has a magnitude of one.
The primary reason for using unit vectors in a rectangular coordinate system is:
The NCERT text states, 'It is convenient to resolve a general vector along the axes of a rectangular coordinate system using vectors of unit magnitude. These are called unit vectors that we discuss now. A unit vector is a vector of unit magnitude and points in a particular direction. It has no dimension and unit. It is used to specify a direction only.' Therefore, their main application is to conveniently specify direction.
A vector $\vec{A}$ is given by $\vec{A} = 3\hat{i} + 4\hat{j}$. What is the magnitude of the unit vector in the direction of A?
By definition, a unit vector always has a magnitude of 1, regardless of the vector it's associated with. So, the unit vector in the direction of $\vec{A}$ will have a magnitude of 1. While the magnitude of $\vec{A}$ is $\sqrt{3^2 + 4^2} = 5$, the unit vector itself has magnitude 1.
In the context of resolving a vector $\vec{A}$ into components $A_x \hat{i}$ and $A_y \hat{j}$, what are $A_x$ and $A_y$ called?
The NCERT text clearly states, 'The quantities $A_x$ and $A_y$ are called x-, and y- components of the vector $\vec{A}$'.
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