Home
Class 11
PHYSICS
If vec A= 3 hat I + 4 hat j and vec B...

If ` vec A= 3 hat I + 4 hat j` and ` vec B = 7 hat I = 24 hat j` , find a vector having the same magnitude as ` vec A `and parallel to ` vec B` .

Text Solution

AI Generated Solution

To find a vector \( \vec{R} \) that has the same magnitude as \( \vec{A} \) and is parallel to \( \vec{B} \), we will follow these steps: ### Step 1: Find the Magnitude of \( \vec{A} \) Given: \[ \vec{A} = 3 \hat{i} + 4 \hat{j} \] ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 4 Problems for practice|45 Videos

  • KINEMATICS

    PRADEEP|Exercise 1 Multiple choice|10 Videos

  • KINEMATICS

    PRADEEP|Exercise 2 Problems for practice|36 Videos

  • GRAVIATION

    PRADEEP|Exercise Assertion-Reason Type Questions|19 Videos

  • LAWS OF MOTION

    PRADEEP|Exercise Assertion- Reason Type Questions|17 Videos

Similar Questions

Explore conceptually related problems

If vec A =3 hat I + 4 hat j and vec B =7hat I + 14 hat j , find a vector having the some magnitude as vec A and parallel to vec B .

If ve A = 3 hat I + 4 hat j and vec B = 7 hat I + 24 hat j . Find vector haveng the same magnitude as vec B and parallel to vec A .

Knowledge Check

  • If vec(A) = 3hat(i) + 4hat(j) and vec(B) = 7hat(i) + 24hat(j) , the vector having the same magnitude as vec(B) and parallel to vec(A) is :

    A
    `5hat(i) + 20 hat(j)`
    B
    `15 hat(i) + 10 hat(j)`
    C
    `20 hat(i) + 15hat(j)`
    D
    `15hat(i) + 20 hat(j)`

  • If vec(b)=3hat(i)+4hat(j) and vec(a)=hat(i)-hat(j) the vector having the same magnitude as that of vec(b) and parallel to vec(a) is

    A
    `5/sqrt(2)(hat(i)-hat(j))`
    B
    `5/sqrt(2)(hat(i)+hat(j))`
    C
    `5(hat(i)-hat(j))`
    D
    `5(hat(i)+hat(j))`

  • If vec(A)=2hat(i)+6hat(j)and vec(B)=4hat(i)+3hat(j), the vector having the same magnitude as vec(B) and parallel to vec(A) is

    A
    `(5)/(2)(2hat(i)-6hat(j))`
    B
    `(sqrt10)/(4)(hat(i)-3hat(j))`
    C
    `(sqrt10)/(4)(4hat(i)+3hat(j))`
    D
    `(sqrt10)/(2)(hat(i)+3hat(j))`

    • Similar Questions

    Explore conceptually related problems

    If vec A =4 hat I + 6 hat j -3 hat k and vec B =- 2 hat I -5 hat j + 7 hat k , find the angle between vec A and vec B .

    If vec a=3hat i+4hat j and vec b=hat i+hat j+hat k, find the value of |vec a xxvec b|

    If vec A = hat i + 3 hat j + 2 hat K and vec B = 3 hat i + hat j + 2 hat k , then find the vector product vec A xx vec B .

    If vec A + vec B =3 hat I + 6 hat j + 2 hat k and vec A - vec B = 6 hat I + 3 hat j - hat k . Find the magnitude of vec A and vec B and their scalar product vec A . Vec B .

    If vec a=hat i-hat j and vec b=-hat j+2hat k, find (vec a-2vec b)*(vec a+vec b)

    Home
    Profile