Q. 3

# Write the value of λ so that the vectors and are perpendicular to each other.

Answer :

If the scalar product (dot product) is zero, two non - zero vectors are perpendicular.

2 - 2λ + 3 = 0

- 2λ = 5

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The angle between two vectors and with magnitudes and 4, respectively, and is

Mathematics - ExemplarTrue and False

If , then the vectors and are orthogonal.

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The vectors are the adjacent sides of a parallelogram. The acute angel between its diagonals is ____________.

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If is any non-zero vector, then equals ______.

Mathematics - ExemplarTrue and False

If and are adjacent sides of a rhombus, then .

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The formula is valid for non-zero vectors and .

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The vector bisects the angle between the non-collinear vectors and if ________

Mathematics - ExemplarIf and are two vectors such that then prove that vector is perpendicular to vector

Mathematics - Board PapersMark the correct alternative in each of the following:

If θ is an acute angle and the vector is perpendicular to the vector then θ =

RD Sharma - Volume 2

Mark the correct alternative in each of the following:

is equal to

RD Sharma - Volume 2