Home
Class 12
MATHS
Show that the vectors -hat(i) + hat(j) -...

Show that the vectors `-hat(i) + hat(j) - hat(k), hat(i) + hat(j) + hat(k)` and `hat(i) + hat(k)` are coplanar.

Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part IV Vector (or Cross) Product of Two Vectors) Short Answer Type Questions|8 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part IV Vector (or Cross) Product of Two Vectors) Long Answer Type Questions|6 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Questions for Practice (Part III Vector (or Cross) Product of Two Vectors) Short Answer Type Questions|13 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

Similar Questions

Explore conceptually related problems

Prove that the four points with position vectors hat(i) + hat(j) + 3hat(k) , hat(i) - 2hat(j) + 2hat(k) and 2hat(i) + 2hat(k) are coplanar.

Find the value of lamda so that the vectors hat(i)-hat(j)+hat(k),2hat(i)+hat(j)-hat(k) and lamdahat(i)-hat(j)+lamdahat(k) are coplanar.

Prove that the vectors 2hat(i) - hat(j) + hat(k), hat(i) - 3hat(j) - 5hat(k), 3hat(i) - 4hat(j) - 4hat(k) are the sides of a right angled triangle.

Show that the points whose position vectors are 5hat(i) + 5 hat(k), 2 hat(i) + hat(j) + 3 hat(k) and -4 hat(i) + 3 hat(j) - hat(k) are collinear.

Show that the vectors 2hat(i) + 3hat(j), 5hat(i) - 5hat(k) and 6hat(j) + 4hat(k) are coplanar.