## What is the angle between two vectors so that their cross product is numerically equal to their product?

120°

Both the vectors have the same magnitude. Let the resultant have magnitude equal to vector A. Hence, the angle between the two vectors is 120°.

**What is the angle between two vectors if the ratio of the dot product and cross product is root 3?**

30∘

∴ θ=tan−1(13)=30∘

**How do you find the angle between two cross products?**

Using the cross product to find the angle between two vectors in R3. Let u=⟨1,−2,3⟩andv=⟨−4,5,6⟩. Find the angle between u and v, first by using the dot product and then using the cross product. I used the formula: U⋅V=||u||||v||cosΔ and got 83∘ from the dot product.

### What is be the angle between two vectors and?

a.b = |a| |b|.cosθ This states that the dot product of two vectors a and b is equal to the magnitude of two vectors a and b multiplied by the cosine of the angle. To find the angle between two vectors, a and b, we will solve the angle θ, cosθ = a.b / |a|.

**What is the angle of cross product?**

If the cross product of two vectors is the zero vector (that is, a × b = 0), then either one or both of the inputs is the zero vector, (a = 0 or b = 0) or else they are parallel or antiparallel (a ∥ b) so that the sine of the angle between them is zero (θ = 0° or θ = 180° and sin θ = 0).

**How do you calculate the angle between two vectors?**

To find the angle between two vectors, use the following formula: is known as the dot product of two vectors. It is found via the following formula: The denominator of the fraction involves multiplying the magnitude of each vector.

#### How do you calculate the dot product of two vectors?

To find the dot product of two vectors: Select the vectors dimension and the vectors form of representation; Type the coordinates of the vectors; Press the button “=” and you will have a detailed step-by-step solution.

**What is the formula for the angle between two vectors?**

The formula for the angle θ between two unit vectors is: au · bu = cosθ. To use this formula with non-unit vectors: normalize each vector, compute the dot product, use the arc cos to get the angle.

**What does the dot product of two vectors represent?**

The dot product, also called the scalar product, of two vector s is a number ( scalar quantity) obtained by performing a specific operation on the vector components. The dot product has meaning only for pairs of vectors having the same number of dimensions. The symbol for dot product is a heavy dot ( ).