This test uses JavaScript to generate your test and mark it. You therefore need to enable Scripting using the Preferences... item in one of the Menu items for this Browser's window. Once enabled, just Reload (Refresh) this page.

Vectors: Magnitude
For points A(2, –1, 6) and B(8, –2, 10)
the magnitude of the vector
->
AB
 is to 3 dps.

tickcross


Worked Solution:

The direction vector is
->
AB
 = (change in x from A to B) i + (change in y from A to B) j + (change in z from A to B) k
= 6 i – j + 4 k
The magnitude (length) of this vector is √( 62 + (–1)2 + 42 ) = √53 = 7.28 to 3 dps.

© MEI Produced by Dr Ron Knott, revised 15 May 2007
tom . button [AT] mei . org . uk 		Test reference: VectorsMag.html?ref=80805