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P

Poonam 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

Define vector?

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J

Jagmohan replied | 19 Nov

Vector is name given to combination of magnitude and direction.

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Sarvajeet Kumar replied | 3 days ago

Any quantity which has both magnitude and direction is called the vector quantity.

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M

Meenakshi 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What do you mean by direction cosines?

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Sarvajeet Kumar replied | 3 days ago

X = ai + bj + ck;
l=cos A=a/square root (square of a+square of b +square of c);
m=cos B=b/square root (square of a+square of b +square of c);
n=cos C=c/square root (square of a+square of b +square of c)
l, m, n are called direction cosines of the vector X.

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S

Sagar 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What do you mean by addition vectors?

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Sarvajeet Kumar replied | 3 days ago

In two given vectors, vector a and vector b.
So the addition of vectors, vector c= vector a + vector b.

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R

Raj 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What is the general equation for addition of vectors?

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Sarvajeet Kumar replied | 3 days ago

In two given vectors, vector a and vector b.
So, the addition of vectors, vector c= vector a + vector b.

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S

Shreya 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What is the general representation for unit vector?

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Sarvajeet Kumar replied | 3 days ago

Unit vector b (say vector b= ai + bj + ck)=(ai + bj + ck)/square root (square a + square b + square c).

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S

Shagufta 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

How we can know that three vectors a, b, c are collinear?

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Sarvajeet Kumar replied | 3 days ago

[vector a vector b cross vector c)]= (vector a) dot product.((vector b) cross product (vector c))= 0.

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M

Mukul 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

Find the values of x, y, and z so that the vectors: vector a = x(i) + 2(j) + z(k) and vector b = 2(i) + y(j) + k are equal?

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Sarvajeet Kumar replied | 3 days ago

2, 2, 1.

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P

Pavan 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

Let vector a = i + 2j and b = 2i + j. Is mod of vector a = mod of vector b?

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Sarvajeet Kumar replied | 3 days ago

mod of vector a = mod of vector b,
square root (1+4)=square root (4+1),
square root (5)=square root (5).

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H

Hemlata 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

Find the unit vector in the direction of the sum of the vectors, a = 2i + 2j +5k and b = 2i + j + 3k?

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Hussam Uddin replied | 5 days ago

4i + 3j + 8k / (sq root 89).

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Sarvajeet Kumar replied | 3 days ago

The unit vector=4i + 3j + 8k / (square root 89).

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S

Sribaghya 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What are the important properties of scalar product?

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Sarvajeet Kumar replied | 3 days ago

For two vectors A(a1, a2, a3) and B(b1, b2, b3)
The scalar product=A.B=a1.b1+ a2.b2+ a3.b3.

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K

Kavitha 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

If angle is zero then what is the product of two vectors a and b?

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Hussam Uddin replied | 5 days ago

Dot product is mod a * mod b. Vector product is zero.

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T

Thiago 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

Define position vector?

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Jijo replied | 23 Nov

Direction of a point from the origin of a system, that is a vector from origin to that point.

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A

Aamir 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What is the formula for section if it is internally divided in the ratio m:n?

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Rachna replied | 19 Nov

MX+NY/m+n

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S

Saravanan 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

Define all the type of vectors?

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U

User 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What is meant by unit vector?

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V

Vikas 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What do you mean by direction ratios of a vector?

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A

Anu 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What do you mean by section formula with respect to vector in mathematics?

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K

Krishna 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What do you mean by scalar or dot product of two vectors?

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W

Wren 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What do you mean by projection of a vector on a line?

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P

Praveen 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

What do you mean by projection of a vector on a line?

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A

Akhilesh 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

If angle is 90 degree and 270 degree, then the what is the projection of vector of AB?

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A

Alifiya 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

If vector a = 5i + j + 3k and vector b = i + j + 5k, then show that the vectors a + b and a - b are perpendicular?

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S

Shishir 08 Nov in  Class XI-XII Tuition (PUC), Mathematics(Class XI-XII Tuition (PUC)), Vector Algebra

Find the projection of the vector a = 2i + 3j + 2k on the vector b = i + 2j + k?

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