SOLUTION: show that the vectors A = 3i - 2j +k , B= i - 3j + 5k , C= 2i + j - 4k form a right angled triangle.

Algebra.Com
Question 762394: show that the vectors A = 3i - 2j +k , B= i - 3j + 5k , C= 2i + j - 4k form a right angled triangle.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
if
,
,
form a right angled triangle, then they satisfy Pythagorean theorem

if
,
,

,
, & represents sides of the triangle
Then
units


since = >
= >
= > ...it's true, so the triangle is right angled triangle

RELATED QUESTIONS

(b) Show that the vectors P = 3i – 2j + k, Q = i – 3j + 5k, and R = 2i + j – 4k form a... (answered by Fombitz)
16. Show that the vectors A = 3i−2j + k, B = i−3j + 5k and C = 2i +... (answered by ikleyn)
show that the vectors a=2i+3j-k and b=3i-j+3k are... (answered by Alan3354)
show that the two vectors a = 9i + j - 4k, b = 3i - 7j + 5k are mutually... (answered by tommyt3rd)
Please help, Show that vectors a = 2i-4j-k, b = 3i+2j-2k and c = 5i-2j-3k can form the... (answered by Edwin McCravy)
Morning Everyone, Struggling on this particular question, on vectors and scalars,... (answered by Fombitz)
Please Help Me With This: Show That The Vectors a=5i+3j+3k, b=3i-3j+k, c=7i+8j+5k are... (answered by ikleyn)
Hi All, Having difficulty with this particular problem on a task sheet, any help... (answered by Fombitz)
Hi, Im Struggeling with this question: Vectors: Show that vectors a = 2i-4j-k, b = (answered by Alan3354,isku,ikleyn)