Home
Class 12
MATHS
Let veca = hati- hatk, vecb = x hati + h...

Let `veca = hati- hatk, vecb = x hati + hatj + (1-x) hatk and vec c = y hati + x hatj + (1+ x -y) hatk.` Then `[veca vecb vec c]` depends on:

A

only x

B

only y

C

neither x or y

D

both x or y.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise Multiple Choice Question (Level-II)|38 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|16 Videos
  • UNIT TEST PAPER NO.3

    MODERN PUBLICATION|Exercise ASSERTION-REASON & COLUMN MATCHING TYPE QUESTIONS (SECTION-B COLUMN MATCHING TYPE QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

If veca = ahti - ahtk, vecb = x hati + hatj + (1-x) hatk and vecc = y hati + x hatj + 1(+ x -y) hatk, then [veca vecb vecc] depends on :

Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati + (x -2) hatj + hatk. If the vector vecc lies in the plane of veca and vecb, then x equals :

Let veca = 2hati + hatj -hatk , vecb = hati + 2hatj - hatk , and vecc = hati + hatj - 2hatk , be three vectors . A vector in the plane of b and c whose projection an a is of magnitude sqrt(2//3) is

If veca = hati + 2 hatj + 3 hatk, vecb=- hati + 2 hatj + hatk and vec c = 3 hati + hatj, then th such that vec a + t vecb is at right angles to vec c, will be equal to :

Let veca = hati + hatj + hatk, vecb = hati - ahtj + hatk and hati - hatj - hatk be three vectors. A vector vecv in the plane of veca and vecb, whose projection on vecc is (1)/(sqrt3), is given by :

The vector veca = hati + hatj + (m + 1) hatk , vecb = hati + hatj + m hatk.vecc = hati - hatj + m hatk are coplanar for :

The projection of vector veca = 2 hati - hatj + hatk along vecb = hati + 2 hatj + 2 hatk is

If vec alpha = 2 hati + 3 hatj - hatk, vec beta =- hati + 2 hatj - 4 hatk, vec lamda = hati + hatj + hatk, then (vec alpha xx vecbeta). (vec alpha xx vec gamma) is :