Give the English meaning of vikarma (3.15)

Anything performed without the direction of the Vedas is called vikarma, or unauthorized or sinful work.

कर्म ब्रह्मोद्भ‍वं विद्धि ब्रह्माक्षरसमुद्भ‍वम् ।
तस्मात्सर्वगतं ब्रह्म नित्यं यज्ञे प्रतिष्ठितम् ॥ १५ ॥

karma brahmodbhavaṁ viddhi brahmākṣara-samudbhavam
tasmāt sarva-gataṁ brahma nityaṁ yajñe pratiṣṭhitam

Synonyms

karma — work; brahma — from the Vedas; udbhavam — produced; viddhi — you should know; brahma — the Vedas; akṣara — from the Supreme Brahman (Personality of Godhead); samudbhavam — directly manifested; tasmāt — therefore; sarva-gatam — all-pervading; brahma — transcendence; nityam — eternally; yajñe — in sacrifice; pratiṣṭhitam — situated.

Translation

Regulated activities are prescribed in the Vedas, and the Vedas are directly manifested from the Supreme Personality of Godhead. Consequently the all-pervading Transcendence is eternally situated in acts of sacrifice.

Purport

Yajñārtha-karma, or the necessity of work for the satisfaction of Kṛṣṇa only, is more expressly stated in this verse. If we have to work for the satisfaction of the yajña-puruṣa, Viṣṇu, then we must find out the direction of work in Brahman, or the transcendental Vedas. The Vedas are therefore codes of working directions. Anything performed without the direction of the Vedas is called vikarma, or unauthorized or sinful work. Therefore, one should always take direction from the Vedas to be saved from the reaction of work. As one has to work in ordinary life by the direction of the state, one similarly has to work under direction of the supreme state of the Lord. Such directions in the Vedas are directly manifested from the breathing of the Supreme Personality of Godhead. It is said, asya mahato bhūtasya niśvasitam etad yad ṛg-vedo yajur-vedaḥ sāma-vedo ’tharvāṅgirasaḥ. “The four Vedas – namely the Ṛg Veda, Yajur Veda, Sāma Veda and Atharva Veda – are all emanations from the breathing of the great Personality of Godhead.” (Bṛhad-āraṇyaka Upaniṣad 4.5.11) The Lord, being omnipotent, can speak by breathing air, for as it is confirmed in the Brahma-saṁhitā, the Lord has the omnipotence to perform through each of His senses the actions of all other senses. In other words, the Lord can speak through His breathing, and He can impregnate by His eyes. In fact, it is said that He glanced over material nature and thus fathered all living entities. After creating or impregnating the conditioned souls into the womb of material nature, He gave His directions in the Vedic wisdom as to how such conditioned souls can return home, back to Godhead. We should always remember that the conditioned souls in material nature are all eager for material enjoyment. But the Vedic directions are so made that one can satisfy one’s perverted desires, then return to Godhead, having finished his so-called enjoyment. It is a chance for the conditioned souls to attain liberation; therefore the conditioned souls must try to follow the process of yajña by becoming Kṛṣṇa conscious. Even those who have not followed the Vedic injunctions may adopt the principles of Kṛṣṇa consciousness, and that will take the place of performance of Vedic yajñas, or karmas.

Bhagavad-gītā As It Is 3.15

Give the English meaning of annād bhavanti bhūtāni (3.14)

annāt — from grains; bhavanti — grow; bhūtāni — the material bodies;

अन्नाद्भ‍वन्ति भूतानि पर्जन्यादन्नसम्भवः ।
यज्ञा‍द्भ‍‍वति पर्जन्यो यज्ञः कर्मसमुद्भ‍वः ॥ १४ ॥

annād bhavanti bhūtāni parjanyād anna-sambhavaḥ
yajñād bhavati parjanyo yajñaḥ karma-samudbhavaḥ

Synonyms

annāt — from grains; bhavanti — grow; bhūtāni — the material bodies; parjanyāt — from rains; anna — of food grains; sambhavaḥ — production; yajñāt — from the performance of sacrifice; bhavati — becomes possible; parjanyaḥ — rain; yajñaḥ — performance of yajña; karma — prescribed duties; samudbhavaḥ — born of.

Translation

All living bodies subsist on food grains, which are produced from rains. Rains are produced by performance of yajña [sacrifice], and yajña is born of prescribed duties.

Purport

Śrīla Baladeva Vidyābhūṣaṇa, a great commentator on the Bhagavad-gītā, writes as follows: ye indrādy-aṅgatayāvasthitaṁ yajñaṁ sarveśvaraṁ viṣṇum abhyarcya tac-cheṣam aśnanti tena tad deha-yātrāṁ sampādayanti, te santaḥ sarveśvarasya yajña-puruṣasya bhaktāḥ sarva-kilbiṣair anādi-kāla-vivṛddhair ātmānubhava-pratibandhakair nikhilaiḥ pāpair vimucyante. The Supreme Lord, who is known as the yajña-puruṣa, or the personal beneficiary of all sacrifices, is the master of all the demigods, who serve Him as the different limbs of the body serve the whole. Demigods like Indra, Candra and Varuṇa are appointed officers who manage material affairs, and the Vedas direct sacrifices to satisfy these demigods so that they may be pleased to supply air, light and water sufficiently to produce food grains. When Lord Kṛṣṇa is worshiped, the demigods, who are different limbs of the Lord, are also automatically worshiped; therefore there is no separate need to worship the demigods. For this reason, the devotees of the Lord, who are in Kṛṣṇa consciousness, offer food to Kṛṣṇa and then eat – a process which nourishes the body spiritually. By such action not only are past sinful reactions in the body vanquished, but the body becomes immunized to all contamination of material nature. When there is an epidemic disease, an antiseptic vaccine protects a person from the attack of such an epidemic. Similarly, food offered to Lord Viṣṇu and then taken by us makes us sufficiently resistant to material affection, and one who is accustomed to this practice is called a devotee of the Lord. Therefore, a person in Kṛṣṇa consciousness, who eats only food offered to Kṛṣṇa, can counteract all reactions of past material infections, which are impediments to the progress of self-realization. On the other hand, one who does not do so continues to increase the volume of sinful action, and this prepares the next body to resemble hogs and dogs, to suffer the resultant reactions of all sins. The material world is full of contaminations, and one who is immunized by accepting prasādam of the Lord (food offered to Viṣṇu) is saved from the attack, whereas one who does not do so becomes subjected to contamination.

Food grains or vegetables are factually eatables. The human being eats different kinds of food grains, vegetables, fruits, etc., and the animals eat the refuse of the food grains and vegetables, grass, plants, etc. Human beings who are accustomed to eating meat and flesh must also depend on the production of vegetation in order to eat the animals. Therefore, ultimately, we have to depend on the production of the field and not on the production of big factories. The field production is due to sufficient rain from the sky, and such rains are controlled by demigods like Indra, sun, moon, etc., and they are all servants of the Lord. The Lord can be satisfied by sacrifices; therefore, one who cannot perform them will find himself in scarcity – that is the law of nature. Yajña, specifically the saṅkīrtana-yajña prescribed for this age, must therefore be performed to save us at least from scarcity of food supply.

Bhagavad-gītā As It Is 3.14