Home
Class 12
MATHS
Prove that the vectors 2hat(i) - hat(j) ...

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.

Text Solution

Verified by Experts

The correct Answer is:
`:.vec(a),vec(b),vec(c)` are sides of a right angle triangle.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • VECTORS

    ARIHANT PRAKASHAN|Exercise TOPIC TEST 1|16 Videos

  • VECTORS

    ARIHANT PRAKASHAN|Exercise TOPIC -2 (PRACTICE QUESTIONS) (1 MARK QUESTIONS) |34 Videos

  • VECTORS

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS)|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    ARIHANT PRAKASHAN|Exercise CHAPTER TEST|24 Videos

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

Similar Questions

Explore conceptually related problems

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

Show that the vectors vec(a)=3hat(i)-2hat(j)+hat(k),vec(b)=hat(i)-3hat(j)+5hat(k) and vec(c)=2hat(i)+hat(j)-4hat(k) form a right angled triangle.

Show that the vectors vec(a) = 3hat(i) - 2hat(j) + hat(k), vec(b) = hat(i) - 3hat(j) + 5hat(k) and vec(c) = 2hat(i) + hat(j) - 4hat(k) form a right angled triangle.

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

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

The dot product of a vector with vectors hat(i) + hat(j) - 3hat(k), hat(i) + 3hat(j) - 2hat(k) and 2hat(i) + hat(j) + 4hat(k) are 0, 5 and 8, respectively. Find the vector.

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

What is the angle between the vectors 2hat(i) - hat(j) - hat(k) and hat(i) + hat(j) + hat(k) ?

Show that the vectors 2hat(i)-3hat(j)+4hat(k) and -4hat(i)+6hat(j)-8hat(k) are collinear.

Show that the vectors 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) are coplanar.

Home
Profile