Skip to content
Philoid
Browse Saved
Back to chapter
Maths
23. Algebra of Vectors
Home · Class 12 · Maths · Ref. Book · 23. Algebra of Vectors
Prev
Next
Q7 of 177 Page 23

Prove that the points and are the vertices of a right-angled triangle.

In a right angle triangle


Where CA is the hypotenuse


BC is the perpendicular and AB is the base


Vertices of the triangle are given below


A = (1, -1, 0), B = (4, -3, 1), C = (2, -4, 5)


So,







………..(1)


Similarly,






…………(2)






…………..(3)




35 = 14 + 21


35 = 35


LHS = RHS


So, these point form a right angle triangle


More from this chapter

All 177 →
5

If and find

6

If and the coordinates of P are (1, -1, 2), find the coordinates of Q.

8

If the vertices A, B, C of a triangle ABC are the points with position vectors respectively, what are the vectors determined by its sides? Find the length of these vectors.

9

Find the vector from the origin O to the centroid of the triangle whose vertices are (1, -1, 2), (2, 1, 3) and (-1, 2, -1).

Questions · 177
23. Algebra of Vectors
1 2 3 4 5 1 2 3 4 5 5 5 6 7 7 8 9 10 1 32 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 2 3 4 5 6 7 8 9 10 11 12 13 1 1 2 2 2 2 2 3 3 4 5 5 6 6 7 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 19 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved