Home
Class 11
PHYSICS
A vector has x component of -25.0 units ...

A vector has x component of -25.0 units and y component of 40.0 units find the magnitude and direction of the vector.

Text Solution

Verified by Experts

Consider a vector `vecA = A_("x")hat(i)+A_("y")hat(j)`
`:.vecA = -25hat(i)+40hat(j)`
`|vecA|=sqrt(A_("x")^(2)+A_("y")^(2))=sqrt((-25.0)^(2)+(40.0)^(2))`
`=47.16~~47.2` units.
and `tanalpha=(A_(y))/(A_(x)) = (40.0)/(-25.0)=1.6`
`:. alpha = tan^(-1)(-1.6)=-58.0^(0)` with -ve x-axis.
(This is in clock wise direction).
This is equivalent to `(122^(@))` in anticlockwise direction with the x-axis.
Promotional Banner

Similar Questions

Explore conceptually related problems

The x- component of a certain vector in x-y plane is 2 units and y- component is +2sqrt(3) units. What is the magnitude of the vector.

A vector has component along the X-axis equal to 25 unit and along the Y-axis equl to 60 unit. Find the magnitude and direction of the vector.

A displacement vector, at an angle of 30^(@) with y-axis has an x-component of 10 units. Then the magnitude of the vector is-

vec A is a vector of magnitude 2.7 units due east . What is the magnitude and direction of vector 4 vecA ?

Two vectors 3 units and 5 units are acting at 60^(@) to each other .What is the magnitude and direction of the resultant ?

The component of a vector is

Two vectors of equal magnitude of 5 unit have an angle 60^0 between them. Find the magnitude of (a) the sum of the vectors and (b) the difference of the vectors. . .

A certain vector in the xy plane has an x-component of 12 m and a y-component of 8m. Its then rotated in the xy plane so that its x-component is halved. Then its new y-component is approximately :

Write a vector of magnitude of 18 units in the direction of the vector hati-2hatj-2hatk .

If magnitude of sum of two unit vectors is sqrt2 then find the magnitude of subtraction of these unit vectors.