The unit vector parallel to the resultan...

The unit vector parallel to the resultant of the vectors `vecA=4hati+3hatj+6hatk and vecB=-hati+3hatj-8hatk` is

A

`(1)/(7)(3hati+6hatj-2hatk)`

B

`(1)/(7)(3hati+6hatj+2hatk)`

C

`(1)/(49)(3hati+6hatj-2hatk)`

D

`(1)/(49)(3hati-6hatj+2hatk)`

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

SCALARS AND VECTORS
TARGET PUBLICATION|Exercise Critical Thinking|36 Videos
SCALARS AND VECTORS
TARGET PUBLICATION|Exercise Competitive Thinking|64 Videos
REFRACTION OF LIGHT
TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

The unit vector parallel to the resultant of the vectors vecA=4hati+3hatj+5hatk and vecB=-hati+3hatj-8hatk is :

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

The unit vector parallel to the resultant of the vectors 2hati+3hatj-hatk and 4hati-3hatj+2hatk 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 a vactor of magnitude of 5 units parallel to the resultant of vector veca = 2 hati + 3hatj + hatk and vecb= (hati-2 hatj-hatk)

Find a unit vector parallel to the sum of the vector (hati + hatj + hatk) and (2hati - 3hatj + 5hatk) .

Determine a unit vector perpendicular to both the vectors vecA=2hati-3hatj+6hatk and vecB=hati-2hatj+4hatk

Find the sum of the vectors veca = -2hati+hatj-4hatk and vecb = 3hati-hatj+5hatk .

When a vector vecC is added to the resultant of vectors vecA=hati+4hatj-2hatk and vecB=3hati-5hatj+hatk , a unit vector along Z-axis is obtained . Find the vector vecC

Find a unit vector perpendicular to each one of the vectors vec a =4hati -hatj +3hatk and vecb =3 hati +2hatj -hatk

TARGET PUBLICATION-SCALARS AND VECTORS-Evaluation Test

The unit vector parallel to the resultant of the vectors vecA=4hati+3h...
Text Solution
|
A force vec(F) = 4hat(i) + 3hat(j) - 2hat(k) is passing through the or...
Text Solution
|
Assertion: If vec(a) = hat(i) + 2hat(j) - 2hat(k), vec(b) = 2hat(i) + ...
Text Solution
|
Two forces of magnitudes 3 N and 5 N act at the same point on an objec...
Text Solution
|
If vec(A) is a vector of magnitude 3 units due east. What is the magni...
Text Solution
|
A body constrained to move in Y direction, is subjected to a force giv...
Text Solution
|
Choose the incorrect option. The two vectors vec(P) and (Q) are dra...
Text Solution
|
When vector hat(n) = ahat(i) + bhat(j) is perpendicular to (2hat(i) + ...
Text Solution
|
A force of -4Fhat(K) acts O, the origin of the coordinate system. The ...
Text Solution
|
If hat(i), hat(j) and hat(k) are unit vectors along x,y and z-axis res...
Text Solution
|
vec(A)and vec(B) are the two vectors such that ratio their dot product...
Text Solution
|
Two vectors vec(A) and vec(B) lie in plane, another vector vec(C ) lie...
Text Solution
|
A particle acted upon by constant forces 5hat(i) + hat(j) - 2hat(k) an...
Text Solution
|
The x and y components of vectors vec(A) are 4 m and 6 m respectively...
Text Solution
|
The angel subtended by the vector A = 6hat(i) + 3hat(j) + 4hat(k) with...
Text Solution
|
A particle moves in the x-y plane under the action of a force vec(F) s...
Text Solution
|
Given vec(A) = 3hat(i) + 2hat(j) and vec(B) = hat(i) + hat(j). The com...
Text Solution
|
A vector vec(A) is along the positive x-axis and its vector product w...
Text Solution
|
What is the area of the triangle formed by sides vec(A) = 2hat(i) - 3h...
Text Solution
|
The component of vector vec(A) = a(x) hat(i) + a(y) hat(j) + a(z) hat(...
Text Solution
|