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What can you say about two vectors if vector A vector B 0?
Depends on the situation. Vector A x Vector B= 0 when the sine of the angle between them is 0 Vector A . Vector B= 0 when the cosine of the angle between them is 0 Vector A + Vector B= 0 when Vectors A and B have equal magnitude but opposite direction.
Is vector A parallel vector B given that vector A is equal to the zero vector and vector B is equal to the zero vector?
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
What is the result of multiplying vector components by a scalar?
If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.
How will you get the third vector if the 1st and 2nd vector was given and the resultant vector is equal to 0?
by method of finding resultant
Can you add 0 to null vector?
Yes, you can add anything to null vector.
What can you say about two vectors if vector A vector B 0?
Depends on the situation. Vector A x Vector B= 0 when the sine of the angle between them is 0 Vector A . Vector B= 0 when the cosine of the angle between them is 0 Vector A + Vector B= 0 when Vectors A and B have equal magnitude but opposite direction.
Is vector A parallel vector B given that vector A is equal to the zero vector and vector B is equal to the zero vector?
The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
Suppose vector equation A plus B equals 0.how does the magnitude of B compare to that of A?
If vector equation A + B = 0, it means that vector B is equal in magnitude but opposite in direction to vector A. Therefore, the magnitude of vector B is equal to the magnitude of vector A.
How would you define the zero vector 0?
The zero vector, denoted as 0, is a vector with all components equal to zero. It serves as the additive identity element in vector spaces, meaning that adding it to any vector does not change the vector's value.
What is the result of multiplying vector components by a scalar?
If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.
How will you get the third vector if the 1st and 2nd vector was given and the resultant vector is equal to 0?
by method of finding resultant
What is the cross product of a vector itself?
0 is a cross product of a vector itself
Can you add 0 to null vector?
Yes, you can add anything to null vector.
How do you implement vector?
import java.util.Vector; public class VectorTest { /** * @param args */ public static void main(String[] args) { //instantiating a vector Vector vct = new Vector(); //Add objects to a vector vct.add("One"); //getting values from the vector String val = (String) vct.get(0); //vector size System.out.println("Vector size is: " + vct.size()); //removing elements from a vector vct.remove(0); } }
What is the resultant of a 3 unit vector and 4 unit vector at right angles to each other?
The multiplicative resultant is a three unit vector composed of a vector parallel to the 3 unit vector and a vector parallel to the product of the 3 unit and 4 unit vectors. R = (w4 + v4)(0 +v3) = (w40 - v4.v3) + (w4v3 + 0v4 + v4xv3) R = (0 - 0) + w4v3 + v4xv3 as v4.v3 =0 ( right angles or perpendicular)
Can you add 0 to a null vector?
Yes, any number can be added to a null vector.
Which vector have no magnitude?
The zero vector has no magnitude. v= Io + Jo + k0 has no magnirude |V|= sqroot(o^2 + 0^2 + 0^2)=0.
