The ratio in which i + 2j + 3k divides t...

The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7i - k is

`-3 : 2`

`1 : 2`

`2 : 3`

`-4 : 3`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

ADDITION OF VECTORS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|10 Videos
ADDITION OF VECTORS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|4 Videos
ADDITION OF VECTORS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
APPLICATIONS OF DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos

Similar Questions

Explore conceptually related problems

The ratio in which bar(i)+2bar(j)+3bar(k) divides the join of -2bar(i)+3bar(j)+5bar(k) and 7bar(i)-bar(k) is

Find the ratio in which the point bar(i)+2bar(j)+3bar(k) divides the join of -2bar(i)+3bar(j)+5bar(k) and 7bar(i)-bar(k) .

The ratio in which 3bar(i)+4bar(j)+7bar(k) divides the join of bar(i)+2bar(j)+3bar(k) and -3bar(i)-2bar(j)-5bar(k) is

A : The vector equation of the plane passing through the point 2i + 2j - 3k and parallel to the vectors 3i + 3j - 5k, i + 2j + k is r = 2i + 2j - 3k + s(3i + 3j - 5k) + t(i + 2j + k) R : The vector equation of the plane passing through the points a, b, c is r = (1 - s - t) a + sb + tc

The vector equation of the plane passing through the point 2i + 2j - 3k and parallel to the vectors 3i + 3j - 5k, i + 2j + k is

The area of the triangle whose sides are given by 2i - 7j + k and 4j- 3k is

A unit vector perpendicular to 2i + 3j + 4k and 4i - 3j + 2k is

If a = i + j + k, b = 2i + 3j, c = 3i + 5j - 3k and d = k + j, then the ratio of moduli of b - a and d - c is

The length of the line segment joining the points 2i - 2j + 3k, 5i + 2j + 3k is

DIPTI PUBLICATION ( AP EAMET)-ADDITION OF VECTORS -EXERCISE 1

If A = i + 2j + 3k and B = 2i - j + 4k, then the position vectors of t...
Text Solution
|
A point C = (5a + 4b - 5c)/(3) divides the line joining A = a - 2b + 3...
Text Solution
|
The ratio in which i + 2j + 3k divides the join of -2i + 3j + 5k and 7...
Text Solution
|
If A = i + 2j + 3k, B = 2i + 4j + 7k and C = 2i + 3j + 5k are collinea...
Text Solution
|
The ratio in which the line segment joining the points with position v...
Text Solution
|
If the position vectors of A, B are i + 2j - 3k, 3i - 2j + 5k respecti...
Text Solution
|
If the position vectors of A, B are 2a - 3b, 3a + 2b respectively then...
Text Solution
|
The position vectors of P and Q are respectively a and b. If R is a po...
Text Solution
|
If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a ...
Text Solution
|
If the position vectors of A, B, C are 2i - 2j + k, 2i + j - k, -2i + ...
Text Solution
|
The position vector of a point lying on the line joining the points wh...
Text Solution
|
In Delta ABC, P, Q, R are points on BC, CA and AB respectively, dividi...
Text Solution
|
P, Q, R, S have position vectors bar(p), bar(q), bar(r), bar(s) respec...
Text Solution
|
The position vector of the centroid of the triangle formed by the poin...
Text Solution
|
The position vector of the centroid of the triangle formed by the poin...
Text Solution
|
If C is the midpoint of AB and P is any point outside AB, then
Text Solution
|
If A, B, C are the vertices of a triangle then vec(A)B + vec(B)C + vec...
Text Solution
|
If G is the centroid of Delta ABC then vec(G)A + vec(G)B + vec(G)C =
Text Solution
|
If G is the centroid of Delta ABC, G' is the centroid of Delta A' B' C...
Text Solution
|
If D is the midpoint of the side BC of Delta ABC then vec(A)B + vec(A)...
Text Solution
|