Question

Vector A makes equal angle with x,y,z axis .value of its component in form of magnitude of vector a will be

Answer 1

Answer:

can't understand what u want

Answer 2

Answer:

Let vector A=xi+yi+zk make a, b, c angle with x, y, z axis respectively.

Then we know

cos(a) =x/|A|

cos(b) =y/|A|

cos(c) =z/|A|

Here a=b=c so we get

x=y=z

Let x=y=z= k(any constant)

Thus A=K(i+j+k)

Another formula of vector angels is

{cos(a)}^2 +{cos(b)} ^2 +{cos(c)} ^2=1

Or, 3{cos(a)}^2=1 as a=b=c

Or, cos(a) =1/√3=cos(b) =cos(c)

So the components are

x=|A|cos(a) =|A|/√3

y=|A|cos(b) =|A|/√3

z=|A|cos(c) =|A|/√3