Podcast
Questions and Answers
What is the magnitude of the vector a × b?
What is the magnitude of the vector a × b?
- |a||b|cotθ
- |a||b|tanθ
- |a||b|cosθ
- |a||b|sinθ (correct)
What is the direction of the vector a × b?
What is the direction of the vector a × b?
- Along a
- Perpendicular to the plane of a and b (correct)
- Parallel to the plane of a and b
- Along b
If a and b are two vectors, what is the relation between a × b and b × a?
If a and b are two vectors, what is the relation between a × b and b × a?
- a × b = 0.5b × a
- a × b = 2b × a
- a × b = -b × a (correct)
- a × b = b × a
If a and b are two vectors, and m is a scalar, what is the relation between ma × b and a × mb?
If a and b are two vectors, and m is a scalar, what is the relation between ma × b and a × mb?
What is the property of vector product that states a × (b + c) = a × b + a × c?
What is the property of vector product that states a × (b + c) = a × b + a × c?
What is the primary characteristic of a scalar quantity?
What is the primary characteristic of a scalar quantity?
What is the term used to describe the line of unlimited length of which a vector AB is a segment?
What is the term used to describe the line of unlimited length of which a vector AB is a segment?
Which of the following is an example of a vector quantity?
Which of the following is an example of a vector quantity?
What is the magnitude of a vector denoted by?
What is the magnitude of a vector denoted by?
What is the name of the point from which a vector begins?
What is the name of the point from which a vector begins?
According to the triangle law of vector addition, what does the third side of the triangle represent?
According to the triangle law of vector addition, what does the third side of the triangle represent?
What is the modulus of a vector m a, where a is a non-zero vector and m is a non-zero scalar?
What is the modulus of a vector m a, where a is a non-zero vector and m is a non-zero scalar?
If r = 3i - 4j + 5k, what is the direction cosine of r with respect to the x-axis?
If r = 3i - 4j + 5k, what is the direction cosine of r with respect to the x-axis?
What is the condition for two vectors a and b to be added using the parallelogram law of addition?
What is the condition for two vectors a and b to be added using the parallelogram law of addition?
What is the property of vector addition known as, when the order of the vectors being added does not change the result?
What is the property of vector addition known as, when the order of the vectors being added does not change the result?
What is the condition for the vectors a and b to be expressed as linear combinations of three non-coplanar vectors?
What is the condition for the vectors a and b to be expressed as linear combinations of three non-coplanar vectors?
What is the result of the vector product (a × b) × (c × d) when a, b, c, and d are vectors?
What is the result of the vector product (a × b) × (c × d) when a, b, c, and d are vectors?
What is the angle between two planes P1 and P2, determined by the vectors a, b and c, d, respectively, when (a × b) × (c × d) = 0?
What is the angle between two planes P1 and P2, determined by the vectors a, b and c, d, respectively, when (a × b) × (c × d) = 0?
What is the expression for an unknown vector r, when a, b are two known non-collinear vectors?
What is the expression for an unknown vector r, when a, b are two known non-collinear vectors?
What is the term used to describe the process of finding an unknown vector or a number of vectors satisfying a given condition?
What is the term used to describe the process of finding an unknown vector or a number of vectors satisfying a given condition?
What is the number of non-coplanar vectors that can be formed from two known non-collinear vectors a and b?
What is the number of non-coplanar vectors that can be formed from two known non-collinear vectors a and b?
What is the condition for two vectors a and b to be parallel?
What is the condition for two vectors a and b to be parallel?
What is the expression for the vector product of two vectors a and b?
What is the expression for the vector product of two vectors a and b?
What is the name of the method used to add two vectors a and b, when the third side of the triangle represents the resultant vector?
What is the name of the method used to add two vectors a and b, when the third side of the triangle represents the resultant vector?
What is the result of the vector equation (a × b) × (c × d) = 0, when a, b, c, and d are vectors?
What is the result of the vector equation (a × b) × (c × d) = 0, when a, b, c, and d are vectors?
What is the condition for two vectors a and b to be equal?
What is the condition for two vectors a and b to be equal?
What is the reciprocal of a vector?
What is the reciprocal of a vector?
What is a localized vector?
What is a localized vector?
What is a free vector?
What is a free vector?
What is the position vector of a point A?
What is the position vector of a point A?
