1800-150-456-789
FlagBACK
Flag Vectors> if vectors 2i-3j+k, 3i+xj+k are orthogona...
question mark

if vectors 2i-3j+k, 3i+xj+k are orthogonal then x=?

yogesh , 8 Years ago
Grade 9
anser 3 Answers
KARNEYSANKETH

Last Activity: 8 Years ago

If two vectors are orthogonal means that they are in perpendicular to each other and the dot product is zero. here, dot product of two vectors is 6-3x+1=5-3x=0...x=5/3..It`s m

Kuldeep Pal

Last Activity: 8 Years ago

Orthogonal vectors means that dot product is Zero and hence:
(2)(3) + (3)(x) + (k)(k) =0........(1)
 and for 2nd equation ,
we have Cross product as Zero.
from Both equation we can find ‘k’ and ‘x’ 

kishan ravishankar

Last Activity: 7 Years ago

If the 2 vectors are orthogonal, they are said to be perpendicular to each other.
Therefore, their dot product is equal to 0.
(2*3)+(-3*x)+(1*1)=0         {Since i.i=1 , j.j=1 , k.k=1}
6-3x+1=0
3x=7
x=7/3=2.3

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Other Related Questions on vectors

question mark
A body is rotating with an angular velocity of 2radians per second about the line joining (1, 2,3) and (2, 3,5) find the velocity of the particle of the body which is momentarily at (3, 5,6) 
 
vectors
0 Answer Available

Last Activity: 3 Years ago

question mark
Show that: vectorPQ+vectorPR+ vectorPS +vectorTP+vectorUP = 4PQ
Vector
vectors
0 Answer Available

Last Activity: 3 Years ago

question mark
Given that A×(B×C) = (A.C)B - ( A.B)C , deduce that (A×B)×C = (A.C)B - (B.C)A
vectors
0 Answer Available

Last Activity: 3 Years ago

question mark
the mean of 30 observations was 17 with sd2. later it was found that two of the observations were incorrect, which were recorded as 19vand 21.find the correct sd if the incorrect values are deleted and correct values 22 and 15 are included
vectors
0 Answer Available

Last Activity: 3 Years ago

question mark
Find the component of 2i +3j +k in the direction of 3i-j 
 
vectors
1 Answer Available

Last Activity: 3 Years ago