Find a vector of magnitude 4 units perpendicular to each of the vectors 2î − ĵ + k̂ and î + ĵ − k̂ and hence verify your answer.

Question

TextUnit Vector and Its PropertiesVector Product of Two VectorsCBSE PYQ

Loading...

Similar Questions

Let θ be the angle between two unit vectors â and b̂ such that sin θ = 3/5. Then, â . b̂ is equal to :

MCQ (Single)Unit Vector and Its PropertiesScalar Product of Two Vectors

In the given figure, ABCD is a parallelogram. If AB⃗ = 2î – 4ĵ + 5k̂ and DB⃗ = 3î – 6ĵ + 2k̂, then find AD⃗ and hence find the area of parallelogram ABCD.

Text

Vector Product of Two Vectors

Geometrical Interpretation of Vector Product

The unit vector perpendicular to both vectors î + k̂ and î – k̂ is :

MCQ (Single)Unit Vector and Its PropertiesVector Product of Two Vectors

Assertion (A) : For two non-zero vectors a→ and b→, a→ · b→ = b→ · a→. Reason (R) : For two non-zero vectors a→ and b→, a→ × b→ = b→ × a→.

Assertion-ReasonScalar Product of Two VectorsVector Product of Two VectorsProperties of Scalar (Dot) ProductProperties of Vector (Cross) Product

Let a→ and b→ be two non-zero vectors. Prove that |a→ × b→| ≤ |a→||b→|. State the condition under which equality holds, i.e., |a→ × b→| = |a→||b→|.

TextVector Product of Two Vectors

Let →a be any vector such that |→a| = a. The value of |→a × î|² + |→a × ĵ|² + |→a × k̂|² is:

MCQ (Single)Vector Product of Two Vectors