Question

.The Magnitude of vector A = 5i +j -2k is

Answer 1

Answer- The above question is from the chapter 'Motion in a Plane'.

Let's know about vectors first.

Vectors: The physical quantities which possess both magnitude and direction are called vectors.

They are denoted by arrow on the top of a letter or using bold face.

Example: Force ($\vec{F}$ or F), acceleration ($\vec{a}$ or a), etc.

Concept used: To find magnitude of any vector, let's say

$a\hat{i} \ + b\hat{j} \ + c\hat{k}$,

Magnitude = $\sqrt{a^{2} + b^{2} + c^{2}}$

Given question: The magnitude of vector A = $5\hat{i} + \hat{j} - 2\hat{k}$ is _____ .

Answer:

$Magnitude \ of \ \vec{a} = \sqrt{5^{2} + 1^{2} + (-2)^{2}}\\ Magnitude \ of \ \vec{a} = \sqrt{25 + 1 + 4}\\ \\Magnitude \ of \ \vec{a} = \sqrt{30}$

∴ The magnitude of vector A = $5\hat{i} + \hat{j} - 2\hat{k}$ is √30 .

Answer 2

Answer:

hi

Explanation:

root 30 is the answer...