Home
Class 12
MATHS
Write the projection of the vector (vec(...

Write the projection of the vector `(vec(b) +vec(c))` on the vector `vec(a)`, where `vec(a)= 2 hat(i) - 2hat(j)+hat(k), vec(b)= hat(i)+2hat(j)- 2hat(k) and vec(c) = 2hat(i)- hat(j)+4 hat(k)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2022 TERM 2 SET 4

    XII BOARDS PREVIOUS YEAR|Exercise Section-B|6 Videos

  • QUESTION PAPER 2022 TERM 2 SET 4

    XII BOARDS PREVIOUS YEAR|Exercise Section -C|4 Videos

  • QUESTION PAPER 2022 TERM 2 SET 3

    XII BOARDS PREVIOUS YEAR|Exercise SECTION C (CASE-STUDY BASED QUESTION)|1 Videos

  • QUESTION PAPER 2022 TERM 2 SET 5

    XII BOARDS PREVIOUS YEAR|Exercise SECTION C (CASE STUDY PROBLEM)|1 Videos

Similar Questions

Explore conceptually related problems

Vector vec(A)=hat(i)+hat(j)-2hat(k) and vec(B)=3hat(i)+3hat(j)-6hat(k) are :

Find vec(a).(vec(b)xx vec(c )) if : vec(a)=2hat(i)+hat(j)+3hat(k), vec(b)=-hat(i)+2hat(j)+hat(k) and vec(c )=3hat(i)+hat(j)+2hat(k) .

Find the sum of the vectors vec(a)=(hat(i)-3hat(k)), vec(b)=(2hat(j)-hat(k)) and vec(c)=(2hat(i)-3hat(j)+2hat(k)) .

Find [vec(a)vec(b)vec(c )] if vec(a)=vec(i)-2hat(j)+3hat(k), vec(b)=2hat(i)-3hat(j)+hat(k) and vec(c )=3hat(i)+hat(j)-2hat(k) .

verify that vec(a) xx (vec(b)+ vec(c))=(vec(a) xx vec(b))+(vec(a) xx vec(c)) , "when" (i) vec(a)= hat(i)- hat(j)-3 hat(k), vec(b)= 4 hat(i)-3 hat(j) + hat(k) and vec(c)= 2 hat(i) - hat(j) + 2 hat(k) (ii) vec(a)= 4 hat(i)-hat(j)+hat(k), vec(b)= hat(i)+hat(j)+ hat(k) and vec(c)= hat(i)- hat(j)+hat(k).

Find the value of lambda for which the vectors vec(a), vec(b), vec(c) are coplanar, where (i) vec(a)=(2hat(i)-hat(j)+hat(k)), vec(b) = (hat(i)+2hat(j)+3hat(k) ) and vec(c)=(3 hat(i)+lambda hat(j) + 5 hat (k)) (ii) vec(a)lambda hat(i)-10 hat(j)-5k^(2), vec(b) =-7hat(i)-5hat(j) and vec(c)= hat(i)--4hat(j)-3hat(k) (iii) vec(a)=hat(i)-hat(j)+hat(k), vec(b)= 2hat( i) + hat(j)-hat(k) and vec(c)= lambda hat(i) - hat(j) + lambda hat(k)

Find the unit vector in the direction of vec(a)-vec(b) , where : vec(a)=hat(i)+3hat(j)-hat(k), vec(b)=3hat(i)+2hat(j)+hat(k) .

Find the angle between the vectors vec(a) and vec(b) , when (i) vec(a)=hat(i)-2hat(j)+3 hat(k) and vec(b)=3hat(i)-2hat(j)+hat(k) (ii) vec(a)=3 hat(i)+hat(j)+2hat(k) and vec(b)=2hat(i)-2hat(j)+4 hat(k) (iii) vec(a)=hat(i)-hat(j) and vec(b)=hat(j)+hat(k) .

Show that the vectors vec(a), vec(b), vec(c) are coplanar, when (i) vec(a)=hat(i)-2hat(j)+3hat(k), vec(b) = -2hat(i)+3hat(j)-4hat(k) and vec(c)=hat(i)-3hat(j)+5hat(k) (ii) vec(a)=hat(i)+3hat(j)+hat(k), vec(b)=2hat(i)-hat(j)-hat(k)and vec(c)=7hat(j)+3hat(k) (iii) vec(a)=2hat(i)-hat(j)+2hat(k), vec(b)=hat(i)+2hat(j)-3hat(k) and vec(c)=3hat(i)-4hat(j)+7hat(k)

Find a unit vector in the direction of (vec(a)+vec(b)) , where : vec(a)=2hat(i)+2hat(j)-5hat(k) and vec(b)=2hat(i)+hat(j)+3hat(k) .