Home
Class 12
MATHS
Which of the following is not always tru...

Which of the following is not always true?

A

`|vec(a)+vec(b)|^(2)=|vec(a)|^(2)+|vec(b)|^(2)" if "vec(a)andvec(b)` are perpendicular to each other.

B

`|vec(a)+lamdavec(b)|ge|vec(a)|" for all "lamdainR" if "vec(a)andvec(b)` are perpendicular to each other.

C

`|vec(a)+vec(b)|^(2)+|vec(a)-vec(b)|^(2)=2(|vec(a)|^(2)+|vec(b)|^(2)).`

D

`|vec(a)+lamdavec(b)|ge|vec(a)|"for all "lamdainR" if "vec(a)" is parallel to "vec(b).`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MTG-WBJEE|Exercise WB JEE WORKOUT (One or More than One Option Correct Type) (2 Mark)|15 Videos

  • TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions (CATEGORY 2 : Single Option Correct Type (2 Mark))|3 Videos

Similar Questions

Explore conceptually related problems

For a spontaneous process, which of the following is always true?

For the cyclic quadrilateral shown below, which of the following is always true?

For the quadratic equation 4x^(2)-7kx+2=0 to have real roots,which of the following is always true?

If quadratic equation ax^(2)+2bx+4c=0 has no solution,then which of the following is always true

If a,b,c,x,y,z in R such that ax+by+cz=2, then which of the following is always true

If a ne 0 and the equation ax ^(2) + bx +c=0 has two roots alpha and beta such that alpha le -3 and beta gt 2, which of the following is always true ?

Which of the following is always true ?

For a cubic polynomial t(x) = px^(3) + qx^(2) + rx +s , which of the following is always true:

Suppose ABCD (in order) is a quadrilateral inscribed in a circle.Which of the following is/are always true? sec B=sec D(b)cot A+cot C=0cos ecA=cos ec C(d)tan B+tan D=0