Home
Class 12
PHYSICS
Find a unit vector in the direction of v...

Find a unit vector in the direction of vector `vecA=(hati-2hatj+hatk)`

Text Solution

AI Generated Solution

To find a unit vector in the direction of the vector \(\vec{A} = \hat{i} - 2\hat{j} + \hat{k}\), we will follow these steps: ### Step 1: Identify the components of the vector The vector \(\vec{A}\) can be expressed in terms of its components: - \(x\) component = 1 (coefficient of \(\hat{i}\)) - \(y\) component = -2 (coefficient of \(\hat{j}\)) - \(z\) component = 1 (coefficient of \(\hat{k}\)) ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|13 Videos
  • SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE CIRCUITS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section-D (Assertion and reason))|5 Videos
  • TEST 1

    AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

Find the unit vector in the direction of vector veca=4hati+3hatj+hatk .

Find a unit vector in the direction of vector vecb = hati + 2hatj + 3hatk .

Knowledge Check

  • A unit vector in the direction of resultant vector of vecA = -2hati + 3hatj + hatk and vecB = hati + 2 hatj - 4 hatk is

    A
    `(-2hati+3hatj+hatk)/(sqrt(35))`
    B
    `(hati+2hatj-4hatk)/(sqrt(35))`
    C
    `(-hati+5hatj-3hatk)/(sqrt(35))`
    D
    `(-3hati+hatj+5hatk)/(sqrt(35))`
  • Similar Questions

    Explore conceptually related problems

    Find the unit vector in the direction of the vector veca=hati+hatj+2hatk .

    Find the unit vector in the direction of sum of vectors veca=hat2i-hatj+hatk and vecb=2hatj+hatk.

    (i) Find the unit vector in the direction of veca+vecb if veca=2hati-hatj+2hatk , and vecb=-hati+hatj-hatk (ii) Find the direction ratios and direction cosines of the vector veca=5hati+3hatj-4hatk .

    Find a vector of magnitude 8 units in the direction of the vector (5hati - hatj + 2hatk) .

    Find the unit vector in the direction of the resultant of vectors hati-hatj+hat3k, 2hati+hatj-2hatk and 2hatj-2hatk

    Find the direction cosines of the vector hati+2hatj+3hatk .

    Find the unit vector in the direction of the sum of the vectors veca=2hati+2hatj-5hatk and vecb=2hati+hatj+3hatk .