ASSERTION: If P⃗.Q⃗ = P⃗.R⃗ Then P⃗ may not always be equal to R⃗. REASON: The dot product of two vectors involves sine of the angle between the two vectors.

Question

Assertion-ReasonScalar Product of Two Vectors

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Assertion: The scalar product of two vectors can be zero. Reason: If two vectors are perpendicular to each other, their scalar product will be zero.

Check whether the vectors are orthogonal or not A⃗ =2 î+3ĵ and B⃗ =4 î-5ĵ

The sum & difference of two vectors are equal in magnitude. Mathematically prove that they are mutually perpendicular to each other.

Find the angle between the vectors A⃗ =î+2ĵ− k̂ and B⃗ =-î+ĵ− k̂