Home
Class 11
PHYSICS
Calculate the area of the parallelogram ...

Calculate the area of the parallelogram whose two adjacent sides are formed by the vectors `vec A xx 4 hat I + 3 hat j and vec B =- 3 hati +6 hat j.

Text Solution

Verified by Experts

`vec A xx vecB =|(hat i,hat j,hatk,), (4,3,o),(-3, 6, 0)| =hati (3 xx0-6xx o) +hatj [0 xx(-3) -0xx 4 ] + hat k [4 xx 6-3 xx (-3)] =33 hatk`
Area of parallelogram `=|vecA xx vec B| =sqrt (0^(2)0^(2) +(33)^(2) ) =33 sq a for vec F =(-3 hati +hat j [0xx (-3) -0 xx 4] + hat k [4 xx 6- 3 xx (-3) ] =33 hat k`
Area of parallelogeam `=|vec A xx vec B| =sqrt(0^(2) +0^(2)+33)^(2)) =33 sq. units`.
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    PRADEEP|Exercise 1 SolvedExamples|17 Videos

  • KINEMATICS

    PRADEEP|Exercise 2 SolvedExamples|31 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

Calculate the area of a paralleleogram whose two adjacent sides are formed by the vectors vec A =3 hat I + 5 hat j and vec B =- 3 hat I + 7 hat j .

Determine the area of the parallelogram whose adjacent sides are formed by the vectors vec A = hat i -3 hat j + hat k and vec B = hat i + hat j + hat k .

Calculate the area of a paralleogeram whose adjcent sides are given by the vectors : vec A = hat i- 2 hat j= 3 hat k , and vec B = 2 hat I = 3 hat j- hat k .

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a=hat i-hat j+3hat k and vec b=2hat i-hat 7hat j+hat k

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a=hat i-hat j+3hat k and vec b=2hat i-7hat j+hat k

Find the area of a parallelogram whose adjacent sides are given by the vectors vec a=3hat i+hat j+4hat k and vec b=hat i-hat j+hat k

Calculate the area of the parallelogram when adjacent sides are given by the vectors vec(A)=hat(i)+2hat(j)+3hat(k) and vec(B)=2hat(i)-3hat(j)+hat(k) .

Find the area of the parallelogram whose adjacent sides are represented by the vectors (i) vec(a)=hat(i) + 2 hat(j)+ 3 hat(k) and vec(b)=-3 hat(i)- 2 hat(j) + hat(k) (ii) vec(a)=(3 hat(i)+hat(j) + 4 hat(k)) and vec(b)= ( hat(i)- hat(j) + hat(k)) (iii) vec(a) = 2 hat(i)+ hat(j) +3 hat(k) and vec(b)= hat(i)-hat(j) (iv) vec(b)= 2 hat(i) and vec(b) = 3 hat(j).

Find the area of the parallelogram whose adjacent sides are represented by the vectors (3 hat (i)+hat(j)-2 hat(k)) and (hat (i)-3 hat(j)+4 hat (k)).

Let vec a=hat i+alphahat j+3hat k and vec b=3hat i-alphahat j+hat k .If the area of the parallelogram whose adjacent sides are represented by the vectors vec a and vec b is 8sqrt(3) square units,then vec a*vec b is equal to