Home
Class 12
MATHS
If overset(to) (a) = hat(i) + 2 hat(j) +...

If `overset(to) (a) = hat(i) + 2 hat(j) + hat(k) and overset(to)(b) = hat(i) - 2 hat(j) - 3 hat(k)` then `( overset(to)(a) + overset(to)(b) ). ( overset(to)(a) - overset(to)(b) ) = …......`

A

`-2`

B

`-8`

C

`8`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - A)|4 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - B)|7 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 5 (Section-D)|4 Videos

Similar Questions

Explore conceptually related problems

Find the angle between vec(P) = - 2hat(i) +3 hat(j) +hat(k) and vec(Q) = hat(i) +2hat(j) - 4hat(k)

Angle between the vectors vec(a)=-hat(i)+2hat(j)+hat(k) and vec(b)=xhat(i)+hat(j)+(x+1)hat(k)

If vec(A) =2hat(i)-2hat(j) and vec(B)=2hat(k) then vec(A).vec(B) ……

If vec(A)=4hat(i)+nhat(j)-2hat(k) and vec(B)=2hat(i)+3hat(j)+hat(k) , then find the value of n so that vec(A) bot vec(B)

The compenent of vec(A)=hat(i)+hat(j)+5hat(j) perpendicular to vec(B)=3hat(i)+4hat(j) is

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+2hat(j)+2hat(k) , find the magnitude of compinent of (vec(A)+vec(B)) along vec(B)

If the angle between vec(A) = 2hat(i)+4hat(j)+2hat(k) and vec(B) =2hat(i) +hat(k) " is " 30^(@) , then find the projection of vec(B ) on A .

hat(i). ( hat(k) xx hat(j)) + hat(j) .(hat(i) xx hat(k) ) + hat(k). ( hat(j) xx hat(i) ) + hat(i). (hat(i) xx hat(j) ) + hat(j) . ( hat(j) xx hat(k) ) =...........

Two balls , having linear momenta vec(p)_(1) = p hat(i) and vec(p)_(2) = - p hat(i) , undergo a collision in free space. There is no external force acting on the balls. Let vec(p)_(1) and vec(p)_(2) , be their final momenta. The following option(s) is (are) NOT ALLOWED for any non -zero value of p , a_(1) , a_(2) , b_(1) , b_(2) , c_(1) and c_(2) (i) vec(p)_(1) = a_(1) hat(i) + b_(1) hat(j) + c_(1) hat(k) , vec(p)_(2) = a_(2) hat(i) + b_(2) hat(j) (ii) vec(p)_(1) = c_(1) vec(k) , vec(p)_(2) = c_(2) hat(k) (iii) vec(p)_(1) = a_(1) hat(i) + b_(1) hat(j) + c_(1) hat(k) ,vec(p)_(2) = a_(2) hat(i) + b_(2) hat(j) - c_(1) hat(k) (iv) vec(p)_(1) = a_(1) hat(i) + b_(1) hat(j) , vec(p)_(2) = a_(2) hat(i) + b_(1) hat(j)

Find the area of a parallelogram whose adjacent sides are given by the vectors overset(to)(a) = 3 hat(i) + 5 hat(j) - 2 hat(k) and overset(to)( b) = 2 hat(i) + hat(j) + 3 hat(k) .