Unit vector in direction of A^→ is (A) |A^→| (B) [A^- /(|A^-|)] (C) |A^-| A^- (D) [(|A^-|) / A^-

Name: Problem 294, Chapter 2: JEE Physics
Uploaded: 2022-01-05T17:42:07-08:00
Duration: 2 min 24 s
Channel: Muhammad Nawaz
Description: Unit vector in direction of A^→ is (A) |A^→| (B) [A^- /(|A^-|)] (C) |A^-| A^- (D) [(|A^-|) / A^-]

step 1 Hello students our question is unit vector in direction of vector a is we have given four option

Question

Unit vector in direction of $\mathrm{A}^{\rightarrow}$ is (A) $\left|\mathrm{A}^{\rightarrow}\right|$ (B) $\left[\mathrm{A}^{-} /\left(\left|\mathrm{A}^{-}\right|\right)\right]$ (C) $\left|\mathrm{A}^{-}\right| \mathrm{A}^{-}$ (D) $\left[\left(\left|\mathrm{A}^{-}\right|\right) / \mathrm{A}^{-}\right]$

    Unit vector in direction of $\mathrm{A}^{\rightarrow}$ is
(A) $\left|\mathrm{A}^{\rightarrow}\right|$
(B) $\left[\mathrm{A}^{-} /\left(\left|\mathrm{A}^{-}\right|\right)\right]$
(C) $\left|\mathrm{A}^{-}\right| \mathrm{A}^{-}$
(D) $\left[\left(\left|\mathrm{A}^{-}\right|\right) / \mathrm{A}^{-}\right]$

JEE Physics

StemEZ 1st Edition

Chapter 2, Problem 294

Instant Answer

Solved by Expert Muhammad Nawaz

01/05/2022

Step 1

A unit vector is a vector whose magnitude is equal to one and whose direction is the same as the given vector. Show more…

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Unit vector in direction of $\mathrm{A}^{\rightarrow}$ is (A) $\left|\mathrm{A}^{\rightarrow}\right|$ (B) $\left[\mathrm{A}^{-} /\left(\left|\mathrm{A}^{-}\right|\right)\right]$ (C) $\left|\mathrm{A}^{-}\right| \mathrm{A}^{-}$ (D) $\left[\left(\left|\mathrm{A}^{-}\right|\right) / \mathrm{A}^{-}\right]$

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Key Concepts

Unit Vector

A unit vector is a vector that has a magnitude of 1 and indicates direction. It is obtained by scaling any nonzero vector to have a length of one, which makes it useful for representing pure direction information independently of magnitude.

Vector Magnitude

The magnitude of a vector is a measure of its length, typically calculated using the Euclidean norm. It quantifies the distance from the origin to the point defined by the vector components in space.

Normalization

Normalization is the process of converting a vector into a unit vector by dividing each component of the vector by its magnitude. This process retains the vector's direction while standardizing its length to one.

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