Write two different vectors having same direction.

Question 6 of 68beginner💡 UnderstandShort Answer1 mark

Correct Answer

Two different vectors having the same direction are $\vec{a}$ and $2\vec{a}$ (or $\hat{i}$ and $2\hat{i}$ ). Both vectors have the same direction but different magnitudes.

Exercise: EXERCISE 10.2 | Q: 3 | (Page 17)

For More Understanding

Explanation

According to the textbook context, two vectors are said to be equal only when they have the same magnitude AND direction. Therefore, for two vectors to be different but have the same direction, they must have different magnitudes. The context mentions that 'both the vectors a and b have same direction, but different magnitudes.' A simple example is a vector and its scalar multiple (like a and 2a), which have the same direction but different magnitudes, making them different vectors.

Solution Steps

Step 1: Recall that vectors with same direction but different magnitudes are different vectors.
Step 2: Write any vector and its scalar multiple, e.g., $\vec{a}$ and $2\vec{a}$ or $\hat{i}$ and $2\hat{i}$ .

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