Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# Suppose → a is a Vector of Magnitude 4.5 Units Due North. What is the Vector (A) 3 → a , (B) − 4 → a ? - Physics

Suppose $\vec{a}$ is a vector of magnitude 4.5 units due north. What is the vector (a) $3 \vec{a}$, (b) $- 4 \vec{a}$ ?

#### Solution

Given: $\vec{a}$ is a vector of magnitude 4.5 units due north.

Case (a):
$3\left| \vec{a} \right| = 3 \times 4 . 5 = 13 . 5$

∴ $3 \vec{a}$ is a vector of magnitude 13.5 units due north.

Case (b):
$\left| - 4 \vec{a} \right| = 4 \times 1 . 5 = 6 \text{ units }$

∴ $- 4 \vec{a}$ is a vector of magnitude 6 units due south.

Concept: What is Physics?
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#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 1
Chapter 2 Physics and Mathematics
Exercise | Q 10 | Page 29
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