Home
Class 12
MATHS
A unit vector parallel to xy-plane and p...

A unit vector parallel to `xy`-plane and perpendicular to the vector `4hat i-3hat j+hat k` is

A

`(i+j)/(sqrt2)`

B

`(1)/(5) (3i+4j)`

C

`(1)/(5) (3i-4j)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Docompose the vector 6hat i-3hat j-6hat k into vectors which are parallel and perpendicular to the vector hat i+hat j+hat k Then the vectors are

Find the vector equation of a plane passing through a point having position vector 2 hat i- hat j+ hat k and perpendicular to the vector 4 hat i+2 hat j-3 hat kdot

Find a unit vector perpendicular to both the vectors 4hat i-hat j+3hat k and -2hat i+hat j-2hat k

Express 2hat i-hat j+3hat k as the sum of vector parallel and a vector perpendicular to 2hat i+4hat j-2hat k

The unit vector parallel to the resultant of the vectors vec(A)= 4hat(i)+3hat(j)+6hat(k) and vec(B)= -hat(i)+3hat(j)-8hat(k) is

Find a vector of magnitude 9, which is perpendicular to both vectors 4hat i-hat j+3hat k and -2hat i+hat j-2hat k

Find a vector whose length is 3 and which is perpendicular to the vector vec a=3hat i+hat j-4hat k and vec b=6hat i+5hat j-2hat k

Find a unit vector parallel to the resultant of vectors vec A = 3 hat I + 3 hat j - 2 hat k and vec B= hat i- 5 hat j + hat k .

Find a vector of magnitude 49, which is perpendicular to both the vectors 2hat i+3hat j+6hat k and 3hat i-6hat j+2hat k. Find a vector whose length is 3 and which is perpendicular to the vector vec a=3hat i+hat j-4hat k and vec b=6hat i+5hat j-2hat k

Find the vector equation of a plane passing through the point having position vector 2 hat(i) + hat(j) + hat(k) and perpendicular to the vector : 4 hat(i) - 2 hat(j) + 3hat(k) .