Let P be the plane in space that intersects the x-axis at 2, the y-axis at -2, and the z-axis at -4. Find a vector that is perpendicular to P. V =

Q: Find a vector equation of a plane having x-intercept 4, y-intercept -1, and a z-intercept of 5.…

A: The x-intercept is 4. The y-intercept is -1. The z-intercept is 5.

Q: Find the point where the line through the origin and perpendicular to the 2x - y - z = 4 plane…

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Q: Find the vector equation of the line through the points P0(x0, y0, z0) and P1(x1, y1, z1).

A: P0x0, y0, z0 & P1x1, y1, z1. Now let a→ & b→ be the position vectors of the points P0x0, y0,…

Q: Find a direction vector for the line containing the origin (0, 0, 0) and the point (2, 3, – 1).

A: The given points are 0,0,0  and  2,3,-1

Q: Describe the Z-axis in R as the span of a vector. Can you describe it as the span of other vectors…

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Q: Draw v = [ 4/1 ] and w = [ -2/2 ] and v+w and v-w in a single xy plane.

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Q: Determine the angle that the vector [-1, -1] makes with the positive horizontal X-axis

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Q: Find a vector in component form that is perpendicular to the line 3x 4y = 6.

A: To find the vector in component form that is perpendicular to the given line.

Q: Find a unit vector with positive first coordinate that is orthogonal to the plane through the points…

A: Given that the points P-2,-3,-1 Q3,2,4andR3,2,7  .

Q: Find the value of c that will make the vector 2 lie in the span of 0 2 and

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Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: If P1 is (1,3,-1) and P2 is (-3,2,4), find the vector equation of the line P1P2. Determine the…

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Q: Find the vector expression for the line that is the intersection of the planes 3x−3y−2z=−2 and…

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Q: is there any other way to solve for part d, the antiderivative in terms of u? it is incorrect

A: ∫x4+154x3dx

Q: Let b = 4i + 3j and c be two %3D vectors perpendicular to each other in the xy-plane. All vectors in…

A: Given: b→=4i+3j and c→ are two vectors perpendicular to each other in xy-plane.  To find: All the…

Q: 2. Find the equation of the plane that is parallel to the vectors and contains the points (-2, 3,…

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Q: Let b = 4i + 3j and c be two vectors perpendicular to each other in the xy-plane. All vectors in the…

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