The projection of a = 3i - j + 5k on b ...

The projection of `a = 3i - j + 5k` on `b = 2i + 3j +k` is

A

`8/sqrt39`

B

`8/sqrt35`

C

`sqrt 14`

D

`8/sqrt14`

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

The projection of veca=2i+3j -2k on vecb=i+2j+3k is

The projection of vec a = 3i +2k on the vector vec b = 2i + 3j +k is,

If the position vectors of A and B are 3i - 2i + k and 2i + 4j - 3k then the length of AB is

Find the value of lambda such that the vectors vec a = 2i + lambda j+ k, vec b = i + 2j +3k are orthogonal

A unit vector perpendicular to the plane of vec a = 2i-6j-3k and vec b = 4i+3j-k is

Obtain the projection of the vector vec(a) = 2hat(i) + 3hat(j) + 2hat(k) on the vector vec(b) = hat(i) + 2hat(j) + hat(k) .

Find 'lambda' when the projection of vec(a) = lambda hat(i) + hat(j) + 4hat(k) on vec(b) = 2hat(i) + 6hat(j) + 3hat(k) is 4 units.

The area pf the triangle whose two sides are given by 4i - j + k and 3i+j - k is

A unit vector perpendicular to 3i + j +2 k and 2i-j + k is

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK

If vec a . i = vec a . (i+j) = vec a . (i+j+k) = 1, then vec a =
Text Solution
|
If vec a and vec b are unit vectors such that |vec a + vec b| =1, then...
Text Solution
|
The projection of a = 3i - j + 5k on b = 2i + 3j +k is
Text Solution
|
If vec a. vec b = ~ |vec a||vec b| then angle between vec a and vec b ...
Text Solution
|
If vec a + 2 vec b + 3 vec c = vec 0, then (vec a xx vec b)+ (vec b xx...
Text Solution
|
If vec a, vec b, vec c non zero coplanar vectors, then, [2 vec a - vec...
Text Solution
|
If vec(a),vec(b) and vec(c) are unit vectors such that vec(a)+vec(b)+v...
Text Solution
|
If the points with position vectors 10 hati + 3 hatj, 12 hati- 5 hatj ...
Text Solution
|
If 2hati+3hatj,hati+hatj+hatk and lambdahati+4hatj+2hatk taken in an o...
Text Solution
|
If vec a, vec b and vec c are non coplanar then vec a . { (vec b xx ve...
Text Solution
|
Angle between the vectors vec a and vec b, where vec a, vec b and vec ...
Text Solution
|
Let vec a = 2i-j+k, vec b = i+2j-k and vec c = i+j-2k be three vector...
Text Solution
|
The vector 1/3 (2i-2j+k) is
Text Solution
|
If vec a, vec b and vec c are non coplanar unit vectors such that vec ...
Text Solution
|
Let alpha, beta, gamma are distinct real numbers. The points with posi...
Text Solution
|
A non-zero vector vec a is parallel to the line of intersection of the...
Text Solution
|
The number of distinct real values of lambda for which the vectors -la...
Text Solution
|
Let vec a, vec b, vec c be unit vectors such that vec a + vec b + vec ...
Text Solution
|
Let vec a = i+2j+k, vec b = i-j+k, vec c = i+j-k. A vector coplanar to...
Text Solution
|
Let vec u, vec nu and vec w vectors that vec u + vec nu + vec w = vec ...
Text Solution
|