Home
Class 12
MATHS
Given the set of vectors v1=(1,2,3) :v2=...

Given the set of vectors `v_1=(1,2,3) :v_2=(1,0,1)` and `v_3=(0,1,0)`

A

the set of vectors are not linearly independent

B

the set of vectors are linearly dependent

C

(1,2,3)+(1,0,1)+(0,1,0)=0

D

`(1,2,3)+(1,0,1)+(0,1,0)ne0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Three block 1, 2 and 3 are arranged as shown in the figure. The velocities of the blockes v_(1) , v_(2) and v_(3) are shown in the figure. What is the relationship between v_(1) , v_(2) and v_(3) ?

In a uniform electric fieled, the potential is 10V at the origin of coordinates , and 8 V at each of the points (1, 0, 0), (0, 1, 0) and (0, 0, 1). The potential at the point (1, 1,1 ) will be .

A is a square matrix of order 3 and v_1, v_2, v_3 are 3 column matrices such that Av_1=[[1],[2],[3]] , Av_2=[[-1],[0],[2]] , Av_3=[[0],[-1],[2]] where v_1=[[1], [1], [1] , v_2=[[2], [0], [3] , v_3=[[1], [1], [-1] then the value of |A| is

The threshold frequencies for photoemission for three metals numbered 1,2,3 are respectively v_(1), v_(2), v_(3) and v_(1) gt v_(2)gt v_(3) . An incident radiation of frequency v_(0)gtv_(2) …………………cause the photoemission from 3 but…………….cause photoemission from 1.

The 3-dimensional vectors v_1, v_2, v_3 satisfying v_1cdotv_1=4, v_1cdotv_2=-2, v_1cdotv_3=6, v_2cdotv_2=2, v_2cdotv_3=-5, v_3cdotv_3=29 , then v_3 may be

Let L_1, L_2, L_3 be three distinct lines in a plane P and another line L, is equally inclined with these three lines. Statement-1: The line L is normal to the plane P. because Statement-2: if non zero vector vec V is equally inclined to three non zero coplanar vector vec V_1, vec V_2, vec V_3 then the vector vec V is normal to the plane of vec V_1, vec V_2 and vec V_3