Home
Class 12
MATHS
If a=(2,5) and b=(1,4), then vector para...

If `a=(2,5) and b=(1,4)`, then vector parallel to (a+b) is

A

(3,5)

B

(1,1)

C

(1,3)

D

(8,5)

Text Solution

Verified by Experts

The correct Answer is:
C

`a+b=3hati+9hatjj=3(hati+3hatj)`. Hence, it is parallel to (1,3).
Promotional Banner

Similar Questions

Explore conceptually related problems

If O is origin annd the position vector fo A is 4hati+5hatj , then unit vector parallel to OA is

If bar(a)=(1,1,1),bar(b)=(4,-2,3) and bar( c )=(1,-2,1) then the vector of magnitude 6 in the direction of 2bar(a)-bar(b)+3bar( c ) is ……………..

Express the vector 2hati+3hatj+hatk as the sum of two vectors, one vector is perpendicualr to 2hati-4hatj+hatk and the other vector is parallel to 2hati-4hatj+hatk .

The unit vector parallel to the vecotr bar(a)-bar(b) is ……………. where bar(a)=(1,2,-3) and bar(b)=(-2,-4,-9)

The vertices of a triangle are A(1,1,2), B (4,3,1) and C (2,3,5). The vector representing internal bisector of the angle A is

Three vector vec(A) , vec(B) , vec(C ) satisfy the relation vec(A)*vec(B)=0 and vec(A).vec(C )=0 . The vector vec(A) is parallel to

If the line bar r = (5,5,2) + k (3,6,9) k in R and bar = (0,3,-1) + k (1,2,b), k in R are parallel then b = ...... .

A point A is on the line vec r = (1- 3mu ) hat i + (mu - 1) hat j + (2 + 5 mu ) hat k. B(3,2,6) is a point of the plane . If the vector bar(AB) is parallel to the plane x-4y+3z = 1 then the value of mu is ............

A(1, 1, 2), B(4, 3, 1) and C(2, 3, 5) are vertices of a triangle ABC. The vector along the bisector angleA is …………..

Let A(1, 2, -3) and B(-1, -2, 1) are two vectors. Direction cosines of the vector joining the vector in the direction A to is ……………….