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

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

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

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

Sarvajeet Kumar

An Experienced Trainer

= (vector a) dot product.((vector b) cross product (vector c))= 0.
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Answered on 03/12/2016 CBSE/Class 12/Science/Mathematics Tuition/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)... 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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Answered on 03/12/2016 CBSE/Class 12/Science/Mathematics Tuition/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?

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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Answered on 03/12/2016 CBSE/Class 12/Science/Mathematics Tuition/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?

Sarvajeet Kumar

An Experienced Trainer

The unit vector=4i + 3j + 8k / (square root 89).
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Answered on 03/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Vector Algebra

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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