2. Vector(Cross) Product of two vectors … · The vector product of two vectors a and b, written...

Module IV

Vector Algebra

e-content

Chapter 10.

By – Santosh DeshmukhPGT MATHEMATICS

AECS, Kakrapar

Product of Two Vectors

2. Vector(Cross) Product of two vectors

Physical Interpretation of Vector Product

Properties of Cross(vector) Product

Question – 1Find a unit vector perpendicular to each of the vectors ( ) ( ) ˆ ˆ ˆ ˆ ˆ ˆ and , where a = i + j + k, b = i + 2j + 3ka b a b+ −

Question – 2Find the area of the triangle whose vertices are A(1, -1, 2), B(2, 1, -1) and C(3, -1, 2).

Question – 3The scalar product of the vector with a unit vector along the sum of vectors and

is equal to one. Find the value of

ˆˆ ˆi j k+ +ˆˆ ˆ2 4 5i j k+ −

ˆˆ ˆ2 3i j kλ + + λ

Question – 4Let , and Find a vector which is perpendicular to both and , and

ˆˆ ˆ4 2a i j k= + + ˆˆ ˆ3 2 7 b i j k= − +

ˆˆ ˆ2 4c i j k= − +

ad

15c d⋅ =

b

Practice questions

Q1.

Q2.

Q3.

Q4.

Q5.

Happy Learning !

For MCQ Test on Vectors

Chapter – 10 Vector Algebra (NCERT)

Vector Algebra Reference Book