Home
Class 12
PHYSICS
Find the resultant of two vectors vecP ...

Find the resultant of two vectors ` vecP = 3 hati + 2hatj and vecQ = 2hati + 3 hat j`

Text Solution

Verified by Experts

Let ` vecR = vecP + vecQ`
`= ( 3hati + 2hatj) + ( 2hati + 3hatj)`
` vecR = 5 hatj + 5hatj`
This gives the resultant vector.
magnitude of ` |vecR| = sqrt(25 +25) = 5sqrt2`
Orientation of `vecR , theta = tan^(-1) (5/5)`
` = 45^(@)` with x-axis
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    AAKASH INSTITUTE|Exercise llustration 1 :|1 Videos
  • MOTION IN A PLANE

    AAKASH INSTITUTE|Exercise Try yourself|48 Videos
  • MOCK_TEST_17

    AAKASH INSTITUTE|Exercise Example|15 Videos
  • MOTION IN A STRAIGHT LINE

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION - D)|15 Videos

Similar Questions

Explore conceptually related problems

Find the resultant of two vectors bar(P) = 3hati+2 hatj "and " barQ= 2hati+3hatj .

Find unit vector parallel to the resultant of the vectors vec(A) = hati +4hatj +2hatk and vec(B) = 3hati - 5hatj +hatk .

Find "a" so that the vectors vecp = 3 hati - 2hatj and vecq = 2 hati + a hatj be orthogonal.

Find a vactor of magnitude of 5 units parallel to the resultant of vector veca = 2 hati + 3hatj + hatk and vecb= (hati-2 hatj-hatk)

A unit vector in the direction of resultant vector of vecA = -2hati + 3hatj + hatk and vecB = hati + 2 hatj - 4 hatk is

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors " "veca=2hati+3hatj-hatk and vecb=hati-2hatj+hatk .

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 unit vector perpendicular to two vectors vecP=hati+hatj+2hatk and vecQ=2hati-4hatj+5hatk .

Find the vector product of two vectors vecA=4 hati+3 hatj+hatk and hatB =3 hat i+2 hat j+4 hat k .

Consider two vectors vecp _(1) = 4 hati - 3 hatj + 5 hatk and vecp _(2) =- 6 hati + 3 hatj - 2 hatk . What is (vecp _(1) + vecp _(2)) . (vecp _(1) xx 5 vec p _(2)) ?