In previous problem, the component of 𝐯 in perpendicular direction of a⃗ in vector form is ? (a)

Name: Problem 39, Chapter 2: Arihant AIEEE Physics
Uploaded: 2021-10-02T04:15:46-08:00
Duration: 1 min 9 s
Channel: Khoobchandra Agrawal
Description: In previous problem, the component of 𝐯 in perpendicular direction of a⃗ in vector form is ? (a) -2 î-2 ĵ-2 𝐤̂ (b) 4 î-4 k̂ (c) 6 î+2 𝐣̂-2 k̂ (d) 2 î+2 ĵ+2 k̂

step 1 Have everyone given V vector is 6 iCap plus 2 j cap minus 2 k cap and vector A is iCap plus j ca

Question

In previous problem, the component of $\overrightarrow{\mathbf{v}}$ in perpendicular direction of $\vec{a}$ in vector form is ? (a) $-2 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}-2 \hat{\mathbf{k}}$ (b) $4 \hat{i}-4 \hat{k}$ (c) $6 \hat{\mathrm{i}}+2 \hat{\mathbf{j}}-2 \hat{\mathrm{k}}$ (d) $2 \hat{i}+2 \hat{j}+2 \hat{k}$

   In previous problem, the component of $\overrightarrow{\mathbf{v}}$ in perpendicular direction of $\vec{a}$ in vector form is ?
(a) $-2 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}-2 \hat{\mathbf{k}}$
(b) $4 \hat{i}-4 \hat{k}$
(c) $6 \hat{\mathrm{i}}+2 \hat{\mathbf{j}}-2 \hat{\mathrm{k}}$
(d) $2 \hat{i}+2 \hat{j}+2 \hat{k}$

Arihant AIEEE Physics

D.B. Singh 2006 Edition

Chapter 2, Problem 39

Instant Answer

Solved by Expert Khoobchandra Agrawal

10/02/2021

Step 1

Given that $\vec{a} = \hat{i} + \hat{j} + \hat{k}$ and $\vec{v} = 6\hat{i} + 2\hat{j} - 2\hat{k}$, we can use the determinant method to find the cross product. Show more…

Show all steps

Thanks for your feedback!

In previous problem, the component of $\overrightarrow{\mathbf{v}}$ in perpendicular direction of $\vec{a}$ in vector form is ? (a) $-2 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}-2 \hat{\mathbf{k}}$ (b) $4 \hat{i}-4 \hat{k}$ (c) $6 \hat{\mathrm{i}}+2 \hat{\mathbf{j}}-2 \hat{\mathrm{k}}$ (d) $2 \hat{i}+2 \hat{j}+2 \hat{k}$

Play audio

Feedback

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Vector Projection

Vector projection involves determining the component of one vector in the direction of another. It is calculated using the dot product, and reflects how much of one vector lies along the line defined by another vector. This concept is essential for understanding how vectors can be decomposed into components along given directions.

Orthogonal Decomposition

Orthogonal decomposition is the process of splitting a vector into two distinct components: one that is parallel to a given vector and another that is perpendicular to it. The perpendicular component is obtained by subtracting the projection (parallel component) from the original vector, which is crucial for analyzing forces and motions in multiple dimensions.

Please give Ace some feedback