Home
Class 12
MATHS
If A, B, C, D and E are five coplanar po...

If `A, B, C, D and E` are five coplanar points, then the value of `bar(DA)+bar(DB)+bar(DC) + bar(AE) +bar( BE) +bar (CE)` is equal to

A

DE

B

3DE

C

2DE

D

4ED

Text Solution

Verified by Experts

The correct Answer is:
B

A,B,C,D and E are five coplanar points.
`DA+DB+AE+BE+CE`
`=(DA+AE)+(DB+BE)+(DC+CE)`
`=DE+DE+DE=3DE`
Promotional Banner

Similar Questions

Explore conceptually related problems

If |bar(x)+bar(y)|=|bar(x)-bar(y)| , then

[bar(a)xx bar(b)" "bar(a)xx bar( c )" "bar(d)] = …………….

In the Boolean algebra bar(A).bar(B) equals is :-

If bar(a),bar(b),bar( c ) and bar(d) are coplanar vectors then (bar(a)xx bar(b))xx(bar( c )xx bar(d)) = …………..

If bar(a),bar(b) and bar( c ) are three vectors such that bar(a)+bar(b)+bar( c )=bar(0) and |bar(a)|=2,|bar(b)|=3 and |bar( c )|=5 , then the value of bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a) is ………..

The value of the expression |bar(a)xx bar(b)|^(2)+(bar(a).bar(b))^(2) is …………..

For any vector bar(a) , the value of (bar(a)xx i)^(2)+(bar(a)xx j)^(2)+(bar(a)xx bar(k))^(2) is ………..

In a right angled triangle ABC, hypotenuse AB=P then bar(AB).bar(AC)+bar(BC).bar(BA)+bar(CA).bar(CB) = ………

The value of lambda for which the vectors 3bar(i)-6bar(j)+bar(k) and 2bar(i)-4bar(j)+lambda bar(k) are parallel is …..

If bar(a),bar(b) and bar( c ) are not coplanar then (bar(a)+bar(b)+bar( c ))*[(bar(a)+bar(b)) times (bar( a )+bar(c))] = ……………