Home
Class 12
MATHS
The points with position vectors 20overs...

The points with position vectors `20overset(^)i+poverset(^)j,5overset(^)i-overset(^)j and 10overset(^)i-13overset(^)j` are collinear. The value of p is

A

7

B

`-37`

C

`-7`

D

37

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If the vectors 3overset(^)i+overset(^)j-5overset(^)k and aoverset(^)i+boverset(^)j-15overset(^)k are collinear, if

If the vectors overset(^)i+2overset(^)k,overset(^)j+overset(^)k and lambda overset(^)i+mu overset(^)j collinear, then

If the four points with position vectors -2overset(^)i+overset(^)j+overset(^)k,overset(^)i+overset(^)j+overset(^)k,overset(^)j-overset(^)k and lambda overset(^)j+overset(^)k are coplanar, then barlambda=

If three points A,B,C are collinear, whose position vectors are overset(^)i-2overset(^)j-8overset(^)k,5overset(^)i-2overset(^)k and 11overset(^)i+3overset(^)j+7overset(^)k respectively, then the ratio in which B divides AC is

If the vectors overset(^)i+3overset(^)j-2overset(^)k,2overset(^)i-overset(^)j+4k and 3overset(^)i+2overset(^)j+xoverset(^)k are coplanar, then the value of x is

The position vector of a point R which divides the line joining two points P and Q whose position vectors are overset(^)i+2overset(^)j-overset(^)k and - overset(^)i+overset(^)j-overset(^)k respectively, in the ratio 2:1 externally is

If the vectors 5overset(^)i-xoverset(^)j+3overset(^)k and -3overset(^)i+2overset(^)j-yoverset(^)k are parallel, the value of x and y respectively are

If the vectors 3overset(^)i+2overset(^)j-overset(^)k and 6overset(^)i-4xoverset(^)j+yoverset(^)k are parallel, then the value of x and y will be

If the point having the position vectors 3overset(^)i-2overset(^)j-overset(^)k,2overset(^)i+3overset(^)j-4overset(^)k,-overset(^)i+overset(^)j+2overset(^)k and 4overset(^)i+5overset(^)j+lambdaoverset(^)jk are coplanar then lambda=

If the points A, B, C and D with position vectors overset(^)i+overset(^)j+overset(^)k,2overset(^)i+3overset(^)j+overset(^)k,overset(^)i+2overset(^)j+5overset(^)k and lambdaoverset(^)i+3overset(^)j+4overset(^)k are coplanar then lambda is equal to