Home
Class 12
MATHS
If vec(a)=2hat(i)-3hat(j)-hat(k) and vec...

If `vec(a)=2hat(i)-3hat(j)-hat(k)` and `vec(b)=hat(i)+4hat(j)-2hat(k)`, then check whether `vec(a)xx vec(b)=vec(b)xx vec(a)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Objective Type Questions (D. Very Short Answers Type Questions)|25 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Ncert File Question from Ncert Book (Exercise 10.1)|5 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Objective Type Questions (B. Fill in the Blanks)|17 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

If vec(a)= 2 hat(i) - 3hat(j) - hat(k), vec(b) = hat(i) +4hat(j) -2 hat(k) , then what is (vec(a) xx vec(b)) xx (vec(a)- vec(b)) is equal to ?

If vec(a)=2hat(i)-3hat(j)-hat(k), vec(b)=hat(i)+4hat(j)-2hat(k) , then what is (vec(a)+vec(b))xx(vec(a)-vec(b)) equal to ?

If vec(a)=5hat(i)-hat(j)-3hat(k) and vec(b)=hat(i)+3hat(j)-5hat(k) , then show that the vectors (vec(a)+vec(b)) and (vec(a)-vec(b)) are perpendicular.

If vec(a)=(hat(i)-hat(j)+2hat(k)) and vec(b)=(2hat(i)+3hat(j)-4hat(k)) then |vec(a)xx vec(b)|=?

If vec(a)=(hat(i)+2hat(j)-3hat(k)) and vec(b)=(3hat(i)-hat(j)+2hat(k)) then the angle between (vec(a)+vec(b)) and (vec(a)-vec(b)) is

(i) If vec(a)=hat(i)+2hat(j)-3hat(k) and vec(b)=3hat(i)-hat(j)+2hat(k) , show that (vec(a)+vec(b)) is perpendicular to (vec(A)-vec(b)) . (ii) If vec(a)=(5hat(i)-hat(j)-3 hat(k)) and vec(b)=(hat(i)+3hat(j)-5hat(k)) then show that (vec(a)+vec(b)) and (vec(a)-vec(b)) are orthogonal.

If vec(a)=4hat(i)+hat(j)-hat(k) , vec(b)=3hat(i)-2hat(j)+2hat(k) , then the value of |vec(a)-vec(b)-vec(c)| is :-

Let vec(a)= hat(i) +hat(j)+2hat(k) and vec(b)= -hat(i) +2hat(j) +3hat(k) . Then the vector product (vec(a) +vec(b)) xx ((vec(a) xx ((vec(a)-vec(b)) xx vec(b))) xx vec(b)) is equal to

If vec(a)= hat(i) - 2hat(j) + 5hat(k) and vec(b) = 2hat(i) + hat(j) -3hat(k) , then (vec(b) - vec(a)).(3 vec(a) +vec(b)) equal to?

Let vec(A)=2hat(i)-3hat(j)+4hat(k) and vec(B)=4hat(i)+hat(j)+2hat(k) then |vec(A)xx vec(B)| is equal to