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Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Vector Algebra

Define vector?

Sarvajeet Kumar

An Experienced Trainer

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

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Answers 2 Comments Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Vector Algebra

What do you mean by direction cosines?

Sarvajeet Kumar

An Experienced Trainer

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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Answers 1 Comments Answered on 03/12/2016 Tuition/Class XI-XII Tuition (PUC) Tuition/Class XI-XII Tuition (PUC)/Mathematics Vector Algebra

What do you mean by addition vectors?

Sarvajeet Kumar

An Experienced Trainer

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

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What is the general equation for addition of vectors?

Sarvajeet Kumar

An Experienced Trainer

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

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What is the general representation for unit vector?

Sarvajeet Kumar

An Experienced Trainer

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

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

Sarvajeet Kumar

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

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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)... read more

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? read less

Sarvajeet Kumar

An Experienced Trainer

2, 2, 1.

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

Sarvajeet Kumar

An Experienced Trainer

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

Sarvajeet Kumar

An Experienced Trainer

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

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What are the important properties of scalar product?

Sarvajeet Kumar

An Experienced Trainer

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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