Home
Class 12
PHYSICS
Find the magnitude and direction of the ...

Find the magnitude and direction of the resultant of given vectors

Text Solution

Verified by Experts

Resolving the vectors :
`R_(x)=2-2sin30^(@)=1` towards + X axis
`R_(y)=2cos30^(@)=sqrt(3)` towards + Y axis
`R=[1^(2)+(sqrt(3))^(2)]^(1//2)=2` unit
the angle of R with X-axis = `theta`
`tan theta=sqrt(3)impliestheta=60^(@)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the magnitude and direction of the resultant of two vectors A and B in the terms of their magnitudes and angle theta between them.

Find the unit vector in the direction of the resultant of vectors hati-hatj+hat3k, 2hati+hatj-2hatk and 2hatj-2hatk

State parallelogram law of vector addition. Find analytically the magnitude and direction of resultant vector. Apply it to find the resultant when, (i) Two vectors are parallel to each other (ii) Two vectors are perpendicular to each other

Find a unit vector in the direction of the resultant of the vectors (hati+2hatj+3hatk),(-hati+2hatj+hatk) and (3hati+hatj) .

A truck travels 25 km north and then 50 km in a direction 60^(@) west of north .Find the magnitude and direction of the truuck's resultant displacement .

Assertion: A vector qunatity is a quantity that has both magnitude and a direction and obeys the triangle law of addition or equivalentyly the parallelogram law of addition. Reason: The magnitude of the resultant vector of two given vectors can never be less than the magnitude of any of the given vector.

An object moves from position (3,4) to (6,5) in the xy-plane. Find the magnitude and direction of displacement vector of the particle.

Find the resultant of vectors veca=hati-hatj+2hatk and vecb=hati+2hatj-4hatk . Find the unit vector in the direction of the resultant vector.

Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b= hat i+2 hat j-4 hat kdot Find the unit vector in the direction of the resultant vector.

Two vectors having equal magnitudes A make an angle theta with eahc other. Find the magnitude and direction of the resultant.