2. vector(cross) product of two vectors … · the vector product of two vectors a and b, written...
TRANSCRIPT
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