Home
Class 12
MATHS
If bar(a) and bar(b) any two non-colline...

If `bar(a)` and `bar(b)` any two non-collinear vectors lying in the same plane, then prove that any vector `bar(r)` coplanar with them can be uniquely expressed as `bar(r)=t_(1)bar(a)+t_(2)bar(b)`, where `t_(1)andt_(2)` are scalars.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER FOR PRACTICE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION-D (Atempt any five of the following)|8 Videos
  • MODEL QUESTION PAPER FOR PRACTICE

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION-B (Attempt any Eight of the following )|12 Videos
  • MATRICES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|12 Videos
  • PAIR OF STRAIGHT LINES

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

If bar(a) and bar(b) be non collinear vectors such that |bar(a)times bar(b)|=bar(a).bar(b) then the angle between bar(a) and bar(b) is

If bar(a) and bar(b) are two vectors perpendicular each other, prove that (bar(a) + bar(b))^(2) = (bar(a) - bar(b))^(2)

bar(a) & bar(b) are two non- collinear vectors then the value of {(bar(a))/(|bar(a)|^(2))-(bar(b))/(|bar(b)|^(2))}^(2) is equal to

bar a and bar b are non- collinear vectors. If barc = (x-2)bar a+bar b and bar d = (2x+1)bar a- bar b are collinear , then find the value of x

If bar(A) and bar(B) are two vectors then A new vector parallel to bar(A) having the magnitude of bar(B) is

bar(a) and bar(b) are non-collinear vectors. If bar(c)=(x-2)bar(a)+bar(b) and bar(d)=(2x+1)bar(a)-bar(b) are collinear, then find the value of x.

bar(a),bar(b),bar(c ) are three coplanar vectors, If bar(a) is not parallel to bar(b) , Show that

A vector coplanar with the non-collinear vectors bara and bar b is

If bar(a) and bar(b) are unit vectors then the vectors (bar(a)+bar(b))xx(bar(a)xxbar(b)) is parallel to the vector

If bar(a),bar(b),bar(c) are non-coplanar unit vectors each including the angle of measure 30^(@) with the other, then find the volume of tetrahedron whose co-terminal edges are bar(a),bar(b),bar(c) .