Advertisements
Advertisements
Question
The position vector particle has a length of 1m and makes 30° with the x-axis. What are the lengths of the x and y components of the position vector?
Advertisements
Solution
Given,
Length of position vector = 1 m
Angle made with x axis = 30
Solution:
Length of X component (OB) = OA cos θ
= 1 × cos 30°
= `sqrt3/2` (or) 0.87 m
Length of Y component (AB) = OA sin θ = 1 × sin 30°
= `1/2` = 0.5 m.
APPEARS IN
RELATED QUESTIONS
Find a vector in the direction of vector `5hati - hatj +2hatk` which has a magnitude of 8 units.
How do you deduce that two vectors are perpendicular?
Compare the components for the following vector equations
(a) `"T"hatj - "mg"hatj = "ma"hatj`
(b) `vecT + vecF = vecA + vecB`
(c) `vecT - vecF = vecA - vecB`
(d) `"T"hatj + "mg"hatj = "ma"hatj`
If `overline(a),overline(b),overline(c)` are non-coplanar vectors and λ is a real number then `[lambda(overline(a)+overline(b))lambda^2overline(b) lambda overline(c)]=[overline(a) overline(b)+overline(c) overline(b)]` for ______.
If the horizontal and vertical components of a force are negative, then that force is acting in between
Unit vector perpendicular to the plane of the triangle ABC with position vectors `veca, vecb, vecc` of the vertices A, B, C is ______.
If a line makes angles 120° and 60° with the positive directions of X and Z axes respectively then the angle made by the line with positive Y-axis is ______.
If `veca = 3hati - 2hatj + hatk` and `vecb = 2hati - 4hatj - 3hatk` then the value of `|veca - 2vecb|` will be ______.
Shown below is a cuboid. Find `vec(BA).vec(BC)`.
Check whether the vectors `2hati + 2hatj + 3hatk , -3hati + 3hatj + 2hatk and 3hati + 4hatk` form a triangle or not.
